Question

How do you write the prime factorization of 100?

Answer 1

`2 xx 2 xx 5 xx 5` or `2^2 xx 5^5`

Explanation:

100 can be factored into `10 xx 10` or `10^2`

The exponent 2 indicated that there are two factors of 10

However 10 is not a prime number. ten can be factored into

`2 xx 5` Since there are two factors of 10 there are two sets of

`2 xx 5` so `2 xx 2 xx 5 xx 5` or `2^2 xx 5^5`