What will be the number of zeroes at the end of the product of 1, 3, 5, 7 ….. 99?*1 point10111Nill
Question
What will be the number of zeroes at the end of the product of 1, 3, 5, 7 ..... 99?
1 point
- 10
- 11
- Nil
Solution
The number of zeroes at the end of a product is determined by the number of pairs of 2 and 5 in its prime factorization, because 2*5 = 10.
In the given series 1, 3, 5, 7, ..., 99, all numbers are odd. Therefore, they do not have 2 in their prime factorization.
Without a 2, we cannot form a pair of 2 and 5, regardless of the number of 5s.
Therefore, the product of the numbers in this series will not end in a zero.
So, the answer is Nil.
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