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Find the number of factors of 100? A] 7 B] 2 C] 6 D] 9 Options : A B C D

Question

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Solution

To find the number of factors of 100, we first need to express 100 as a product of prime numbers.

100 = 2^2 * 5^2

The number of factors of a number is determined by adding 1 to the exponent of each prime factor in the prime factorization and then multiplying those results together.

For 100, the prime factorization is 2^2 * 5^2.

So, the number of factors is (2+1)(2+1) = 33 = 9.

Therefore, the correct answer is D] 9.

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