Prime Factorization of 100

To find the prime factorization of 100, we need to express it as a product of prime numbers.

We do this by repeatedly dividing by the smallest prime that divides evenly, starting with 2.

A prime number is only divisible by 1 and itself (2, 3, 5, 7, 11, 13, ...).

Since 100 is even, we start by dividing by 2. We can divide by 2 twice:

After dividing by 2, we have 25 remaining.

5 is a prime number that divides our current value. We can divide by 5 twice:

After dividing by 5, we have 1 remaining.

Now we combine all the prime factors we found:

Expanded form: 100 = 2 × 2 × 5 × 5

Exponential form: 100 = 2^2 × 5^2

We can verify: 2 × 2 × 5 × 5 = 100 ✓