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