Question
The number 100 expressed as a product of its prime factors is
The prime factors of 100 are 2 and 5. Therefore, the number 100 can be expressed as a product of its prime factors as 2^2 * 5^2.
To find the prime factors of 100, we can start by dividing the number by the smallest prime number, which is 2.
Step 1: Divide 100 by 2.
100 ÷ 2 = 50
Step 2: 50 is even, so divide it by 2 again.
50 ÷ 2 = 25
Step 3: 25 is not divisible by 2, so we move on to the next prime number, which is 3.
Step 4: 25 is not divisible by 3, so we move on to the next prime number, which is 5.
Step 5: Divide 25 by 5.
25 ÷ 5 = 5
Step 6: 5 is a prime number itself, so we cannot divide it any further.
Therefore, the prime factors of 100 are 2, 2, 5.
So, 100 expressed as a product of its prime factors is 2 x 2 x 5.