Factor Calculator

Factors of 325

The factors of 325 are 1, 5, 13, 25, 65, and 325. In total, 325 has 6 factors. Its prime factorization is 5² × 13, and the sum of all its factors is 434.

All factors of 325

Here are all 6 factors of 325, listed from smallest to largest.

15132565325

Factor pairs of 325

These 3 pairs of whole numbers each multiply to give 325.

1 × 325 = 325
5 × 65 = 325
13 × 25 = 325

Prime factorization of 325

Dividing 325 by the smallest prime at each step gives its prime factorization:

325 ÷ 5 = 65
65 ÷ 5 = 13
13 ÷ 13 = 1
Result: 325 = 5 × 5 × 13 = 5² × 13

The distinct prime factors of 325 are 5, 13. To factorize any other number, use the prime factorization calculator.

Factor tree of 325

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

Factor tree of 325325565513
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 325

Number of factors6
Sum of factors434
Sum of proper factors109
Prime factorization5² × 13
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 325 interesting

  • 325 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
  • 325 is a deficient number: its proper factors sum to 109, which is 216 less than 325 itself.
  • 325 is a triangular number — it is the sum of the first 25 whole numbers (1 + 2 + … + 25 = 325).

How to find the factors of 325 yourself

Divide 325 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 √325 ≈ 18.03, because every factor above that pairs with one below it.

325 ÷ 1 = 325 ✓
325 ÷ 5 = 65 ✓
325 ÷ 13 = 25 ✓

Reading both columns gives every factor: 1, 5, 13, 25, 65, 325. The factor calculator does this automatically for any number.

Numbers mathematically connected to 325.

Frequently asked questions about 325

What are the factors of 325?

The factors of 325 are 1, 5, 13, 25, 65, and 325. That is 6 factors in total, counting both 1 and 325.

Is 325 a prime number?

No, 325 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 325 is also divisible by 5.

What is the prime factorization of 325?

The prime factorization of 325 is 5² × 13. Written out in full: 5 × 5 × 13 = 325. Its distinct prime factors are 5, 13.

What two numbers multiply to give 325?

There are 3 pairs of whole numbers that multiply to 325: 1 × 325, 5 × 65, 13 × 25.

What is the sum of the factors of 325?

Adding all the factors of 325 together gives 434. Excluding 325 itself, the proper factors sum to 109.

Is 325 a perfect square?

No, 325 is not a perfect square. There is no whole number that multiplies by itself to give 325. The nearest perfect squares are 324 and 361.

What is the largest factor of 325 other than itself?

The largest factor of 325 apart from 325 itself is 65, since 325 ÷ 65 = 5.

How many factors does 325 have?

325 has 6 factors: 1, 5, 13, 25, 65, and 325. You can verify this from the prime factorization 5² × 13: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 325 down further with the prime factorization calculator, or compare 325 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.