**Quote:**

How many zeros will be there in the value of 25!?

A. 25

B. 8

C. 6

D. 5

E. 2

The correct choice is (C) and the correct answer is 6.

Explanatory Answer

25! is factorial 25 whose value = 25*24*23*22*â€¦..*1

When a number that has 5 as its factor is multiplied by another number that has 2 as its factor, the result will have â€˜0â€™ in its units digit.

In 25!, the numbers that have 5 as their factor are 5, 10, 15, 20, and 25. 25 is the square of 5 and hence has two 5â€™s in it.

Therefore, 25! contains in it 6 fives.

There are more than 6 even numbers in 25!. Hence, the limiting factor is the number of 5s.

And hence, the number 25! will have 6 zeroes in it.

Here is one question from this document and I found its answer wrong there.

25! = 1.551121 Ã— 10^(25) means 25 zeros in it.

Then how can it say that the number 25! will have 6 zeroes in it?