Calculators

Math

Factors

100 is a perfect square (10²) and the basis of our percentage system. As the square of our counting base, it has exactly 9 factors.

All Factors

The factors of 100 are:  1, 2, 4, 5, 10, 20, 25, 50, 100

The prime factorization is: 100 = 2 x 2 x 5 x 5

Factoring of 100 Using Trial Division

Find the Factors of 100 :

• Calculate the square root of 100 which is 10, and round it down to the closest whole number, 10, and use it in the next step.
• Test the integer values 1 through 10 for division into 100 where the remainder equals 0.
• We find 9 factors where the remainder of division is 0 and they are: 1, 2, 4, 5, 10, 20, 25, 50, 100.

Factor Pairs

1 × 100 = 100
2 × 50 = 100
4 × 25 = 100
5 × 20 = 100
10 × 10 = 100

The factor pairs (multiples) that equal 100 when multiplied together are: (1 and 100), (2 and 50), (4 and 25), (5 and 20), (10 and 10), which we found by matching up all factors of 100 which are: 1, 2, 4, 5, 10, 20, 25, 50, 100.

Is 100 Prime or Composite?

100 is a composite number. Since it has more than two factors, we know that 100 is not prime, it is composite. Prime numbers only have two factors. They are evenly divisible by only 1 and itself.

Is 100 a Perfect Square?

Yes! Since the square root of 100 is an integer, 10, this tells us that 100 is a perfect square. It is a perfect square of 10 because 10 multiplied by itself or 10² equals 100.