Problem 56418. Easy Sequences 78: Trailing Zeros of Factorial Numbers at any Base

Created by Ramon Villamangca

Solve Later

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<div style = "text-align: start; line-height: 20.45px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 12.6px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 188.2px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 94.1px; transform-origin: 407px 94.1px; vertical-align: baseline; "><div style="block-size: 37.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 18.9px; text-align: left; transform-origin: 384px 18.9px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 48.5px 7px; transform-origin: 48.5px 7px; unicode-bidi: normal; "><span style="">Given an integer </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">n</span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59.5px 7px; transform-origin: 59.5px 7px; unicode-bidi: normal; "><span style=""> and a number base </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">b</span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 224px 7px; transform-origin: 224px 7px; unicode-bidi: normal; "><span style="">, write a function that calculates the number of trailing zeros of the factorial of </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">n</span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 19px 7px; transform-origin: 19px 7px; unicode-bidi: normal; "><span style=""> when written in base-</span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">b</span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 7px; transform-origin: 2px 7px; unicode-bidi: normal; "><span style="">.</span></span></div><div style="block-size: 18.9px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 9.45px; text-align: left; transform-origin: 384px 9.45px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 49px 7px; transform-origin: 49px 7px; unicode-bidi: normal; "><span style="">For example, for </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" style="width: 39.5px; height: 16px;" width="39.5" height="16"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14.5px 7px; transform-origin: 14.5px 7px; unicode-bidi: normal; "><span style=""> and </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" style="width: 33px; height: 16px;" width="33" height="16"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 79px 7px; transform-origin: 79px 7px; unicode-bidi: normal; "><span style="">, the function should return </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);">5</span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 30.5px 7px; transform-origin: 30.5px 7px; unicode-bidi: normal; "><span style="">, because:</span></span></div><div style="background-color: rgb(247, 247, 247); block-size: 36.8px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 18.4px; transform-origin: 404px 18.4px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; "><div style="background-color: rgba(0, 0, 0, 0); block-size: 18.4px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 9.2px; transform-origin: 404px 9.2px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 105px 7.5px; tab-size: 4; transform-origin: 105px 7.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">  &gt;&gt; dec2base(factorial(15),4)</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 18.4px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 9.2px; transform-origin: 404px 9.2px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 105px 7.5px; tab-size: 4; transform-origin: 105px 7.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; perspective-origin: 24.5px 7.5px; transform-origin: 24.5px 7.5px; ">  &gt;&gt;   </span><span style="border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 80.5px 7.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 80.5px 7.5px; ">'103001313131311200000'</span></span></div></div><div style="block-size: 18.9px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 9.45px; text-align: left; transform-origin: 384px 9.45px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.5px 7px; transform-origin: 11.5px 7px; unicode-bidi: normal; "><span style="">For </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" style="width: 39.5px; height: 16px;" width="39.5" height="16"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14.5px 7px; transform-origin: 14.5px 7px; unicode-bidi: normal; "><span style=""> and </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" style="width: 39.5px; height: 16px;" width="39.5" height="16"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 79px 7px; transform-origin: 79px 7px; unicode-bidi: normal; "><span style="">, the function should return </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);">4</span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 7px; transform-origin: 2px 7px; unicode-bidi: normal; "><span style="">.</span></span></div><div style="background-color: rgb(247, 247, 247); block-size: 36.8px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 18.4px; transform-origin: 404px 18.4px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; "><div style="background-color: rgba(0, 0, 0, 0); block-size: 18.4px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 9.2px; transform-origin: 404px 9.2px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 108.5px 7.5px; tab-size: 4; transform-origin: 108.5px 7.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">  &gt;&gt; dec2base(factorial(10),12)</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 18.4px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 9.2px; transform-origin: 404px 9.2px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 56px 7.5px; tab-size: 4; transform-origin: 56px 7.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; perspective-origin: 24.5px 7.5px; transform-origin: 24.5px 7.5px; ">  &gt;&gt;   </span><span style="border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 31.5px 7.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 31.5px 7.5px; ">'1270000'</span></span></div></div></div></div>

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Problem 56418. Easy Sequences 78: Trailing Zeros of Factorial Numbers at any Base

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Problem 56418. Easy Sequences 78: Trailing Zeros of Factorial Numbers at any Base

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