The number 100 expressed as a product of it's prime factors is

Answer 1

The prime factorization of 100 can be calculated by dividing it by the smallest prime numbers until we can no longer divide it evenly.

We first divide 100 by 2:
100 ÷ 2 = 50

Next, we divide 50 by 2 again:
50 ÷ 2 = 25

Now, we divide 25 by the next prime number, which is 5:
25 ÷ 5 = 5

Since 5 is a prime number, we can no longer divide further.

Therefore, the prime factorization of 100 is:
2 × 2 × 5 × 5

So, expressed as a product of its prime factors, 100 is 2^2 × 5^2.