Calculators

Math

Factors

25 is a perfect square (5²) frequently used in percentage calculations as one quarter of 100. It has exactly 3 factors.

All Factors

The factors of 25 are:  1, 5, 25

The prime factorization is: 25 = 5 x 5

Factoring of 25 Using Trial Division

Find the Factors of 25 :

• Calculate the square root of 25 which is 5, and round it down to the closest whole number, 5, and use it in the next step.
• Test the integer values 1 through 5 for division into 25 where the remainder equals 0.
• We find 3 factors where the remainder of division is 0 and they are: 1, 5, 25.

Factor Pairs

1 × 25 = 25
5 × 5 = 25

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

Is 25 Prime or Composite?

25 is a composite number. Since it has more than two factors, we know that 25 is not prime, it is composite. Prime numbers only have two factors. They are evenly divisible by only 1 and itself.

Is 25 a Perfect Square?

Yes! Since the square root of 25 is an integer, 5, this tells us that 25 is a perfect square. It is a perfect square of 5 because 5 multiplied by itself or 5² equals 25.