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Question

What is the highest power of 5 that can divide N=(22!+17,894!)?

A
2
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B
7
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C
4
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D
6
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Solution

The correct option is C 4
The number of times this number is divisible by 5 is same as the number of zeroes at the end of this number. Here, 22! have 4 zeroes at its end, and therefore, N will also be having only four zeroes at its end. Hence, the highest power of 5 that can divide N is 4.

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