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@LRU

@@ 6 ..

25! means factorial 25 whose value = 25 × 24 × 23 × 22 × .... × 1 ..

When a number that is a multiple of 5 is multiplied with an even number, it results in a trailing zero.

(Product of 5 and 2 is 10 and any number when multiplied with 10 or a power of 10 will have one or as many zeroes as the power of 10 with which it has been multiplied) ..

In 25!, the following numbers have 5 as their factor: 5, 10, 15, 20, and 25…

25 is the square of 5 and hence it has two 5s in it. In toto, it is equivalent of having six 5s…

There are at least 6 even numbers in 25!

Hence, the number 25! will have 6 trailing zeroes in it...

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