Factors of 25

The factors of 25 are 1, 5, and 25. In total, 25 has 3 factors. Its prime factorization is 5², and the sum of all its factors is 31. 25 is also a perfect square, equal to 5 × 5.

All factors of 25

Here are all 3 factors of 25, listed from smallest to largest.

1525

Factor pairs of 25

These 2 pairs of whole numbers each multiply to give 25.

1 × 25 = 25

5 × 5 = 25

Notice the pair (5, 5) — because 25 is a perfect square, this pair uses the same number twice.

Prime factorization of 25

Dividing 25 by the smallest prime at each step gives its prime factorization:

25 ÷ 5 = 5

5 ÷ 5 = 1

Result: 25 = 5 × 5 = 5²

The distinct prime factors of 25 are 5. To factorize any other number, use the prime factorization calculator.

Factor tree of 25

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 25

Number of factors	3
Sum of factors	31
Sum of proper factors	6
Prime factorization	5²
Prime or composite?	Composite
Even or odd?	Odd
Perfect square?	Yes (5²)
Perfect cube?	No
Classification	Deficient

What makes 25 interesting

25 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
25 is a perfect square: 5 × 5 = 25. This is why it has an odd number of factors (3) — the pair (5, 5) counts only once.
25 is a deficient number: its proper factors sum to 6, which is 19 less than 25 itself.
25 is a prime power: it is 5 raised to the power of 2. All of its factors are powers of 5.

How to find the factors of 25 yourself

Divide 25 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √25 ≈ 5.00, because every factor above that pairs with one below it.

25 ÷ 1 = 25 ✓

25 ÷ 5 = 5 ✓

Reading both columns gives every factor: 1, 5, 25. The factor calculator does this automatically for any number.

Numbers mathematically connected to 25.

Frequently asked questions about 25

What are the factors of 25?

The factors of 25 are 1, 5, and 25. That is 3 factors in total, counting both 1 and 25.

Is 25 a prime number?

No, 25 is not prime — it is a composite number with 3 factors. A prime number has exactly two factors, but 25 is also divisible by 5.

What is the prime factorization of 25?

The prime factorization of 25 is 5². Written out in full: 5 × 5 = 25. Its distinct prime factors are 5.

What two numbers multiply to give 25?

There are 2 pairs of whole numbers that multiply to 25: 1 × 25, 5 × 5.

What is the sum of the factors of 25?

Adding all the factors of 25 together gives 31. Excluding 25 itself, the proper factors sum to 6.

Is 25 a perfect square?

Yes, 25 is a perfect square. It equals 5 × 5. Perfect squares always have an odd number of factors — 25 has 3.

What is the largest factor of 25 other than itself?

The largest factor of 25 apart from 25 itself is 5, since 25 ÷ 5 = 5.

How many factors does 25 have?

25 has 3 factors: 1, 5, and 25. You can verify this from the prime factorization 5²: add 1 to each exponent and multiply, giving 3 = 3.

Explore more

Try another number in the factor calculator, break 25 down further with the prime factorization calculator, or compare 25 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.