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4 Feb 2010 14:51:35 IST

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No factorial can end with 5 zeros. What is the next smallest of zeros in which a factorial cannot en

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No factorial can end with 5 zeros. What is the next smallest of zeros in which a factorial cannot end?

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jatin bansal

Cool goIITian

Joined: 28 Jan 2010

Posts: 31

6 Feb 2010 07:06:12 IST

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next smallest of zeros in which a factorial can not end is 11

because 5! ends in one 0

10! ends in two 0

15! endsin three 0

20!ends in four 0

but 25! ends in six 0 because 25 multiplied by a mutiple of 4 gives no. ending in two 0

similarly 30! ends in seven 0

35! ends in eight 0

40!ends in nine 0

45! ends in ten 0

but 50! will end with twelve 0 as 50 multiplied by any even no. will give a no. ending in two 0

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