Factors of 25 Explained | Prime Factorization, Pairs & Perfect Square

What are the factors of 25?

The factors of 25 are the numbers that divide 25 completely without leaving any remainder. The factors of 25 are 1, 5, and 25. This means 25 can be evenly divided by these three numbers only.

Prime factorization of 25

The prime factorization of 25 is the process of expressing 25 as a product of prime numbers. Since 25 is divisible by 5, and 5 is a prime number, we get:

25 = 5 × 5
or 25 = 5²

This shows that 25 is made by multiplying the prime number 5 by itself.

Factor pairs of 25

Factor pairs are two numbers that multiply together to give 25. The factor pairs of 25 are:

1 × 25 = 25
5 × 5 = 25

So, the factor pairs of 25 are (1, 25) and (5, 5).

Is 25 a prime or composite number?

25 is a composite number because it has more than two factors. A prime number has exactly two factors: 1 and itself. Since 25 has three factors (1, 5, and 25), it is classified as composite.

Is 25 a perfect square?

Yes, 25 is a perfect square because it can be written as 5 × 5. The square root of 25 is 5, which is a whole number. Any number that can be expressed as the square of an integer is called a perfect square.

Summary

The number 25 has three factors: 1, 5, and 25. Its prime factorization is 5 × 5. The factor pairs are (1, 25) and (5, 5). It is a composite number and also a perfect square.