The number 100 expressed as a product of its prime factors is

Question

2^2x5^2
2^2x25
10^2
4x5^2
1 point

Answer 1

The number 100 can be expressed as a product of its prime factors.

To factor 100:

1. Start by dividing by the smallest prime number, which is 2: \[ 100 \div 2 = 50 \]
2. Divide 50 by 2 again: \[ 50 \div 2 = 25 \]
3. Now, divide 25 by 5 (the next smallest prime): \[ 25 \div 5 = 5 \]
4. Finally, divide 5 by 5 again: \[ 5 \div 5 = 1 \]

So, we can express 100 as: \[ 100 = 2 \times 2 \times 5 \times 5 = 2^2 \times 5^2 \]

Thus, the correct option for the product of its prime factors is: \[ \boxed{2^2 \times 5^2} \]