Factor Calculator

Factors of 925

The factors of 925 are 1, 5, 25, 37, 185, and 925. In total, 925 has 6 factors. Its prime factorization is 5² × 37, and the sum of all its factors is 1178.

All factors of 925

Here are all 6 factors of 925, listed from smallest to largest.

152537185925

Factor pairs of 925

These 3 pairs of whole numbers each multiply to give 925.

1 × 925 = 925
5 × 185 = 925
25 × 37 = 925

Prime factorization of 925

Dividing 925 by the smallest prime at each step gives its prime factorization:

925 ÷ 5 = 185
185 ÷ 5 = 37
37 ÷ 37 = 1
Result: 925 = 5 × 5 × 37 = 5² × 37

The distinct prime factors of 925 are 5, 37. To factorize any other number, use the prime factorization calculator.

Factor tree of 925

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

Factor tree of 9259255185537
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 925

Number of factors6
Sum of factors1178
Sum of proper factors253
Prime factorization5² × 37
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 925 interesting

  • 925 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.
  • 925 is a deficient number: its proper factors sum to 253, which is 672 less than 925 itself.

How to find the factors of 925 yourself

Divide 925 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 √925 ≈ 30.41, because every factor above that pairs with one below it.

925 ÷ 1 = 925 ✓
925 ÷ 5 = 185 ✓
925 ÷ 25 = 37 ✓

Reading both columns gives every factor: 1, 5, 25, 37, 185, 925. The factor calculator does this automatically for any number.

Numbers mathematically connected to 925.

Frequently asked questions about 925

What are the factors of 925?

The factors of 925 are 1, 5, 25, 37, 185, and 925. That is 6 factors in total, counting both 1 and 925.

Is 925 a prime number?

No, 925 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 925 is also divisible by 5.

What is the prime factorization of 925?

The prime factorization of 925 is 5² × 37. Written out in full: 5 × 5 × 37 = 925. Its distinct prime factors are 5, 37.

What two numbers multiply to give 925?

There are 3 pairs of whole numbers that multiply to 925: 1 × 925, 5 × 185, 25 × 37.

What is the sum of the factors of 925?

Adding all the factors of 925 together gives 1178. Excluding 925 itself, the proper factors sum to 253.

Is 925 a perfect square?

No, 925 is not a perfect square. There is no whole number that multiplies by itself to give 925. The nearest perfect squares are 900 and 961.

What is the largest factor of 925 other than itself?

The largest factor of 925 apart from 925 itself is 185, since 925 ÷ 185 = 5.

How many factors does 925 have?

925 has 6 factors: 1, 5, 25, 37, 185, and 925. You can verify this from the prime factorization 5² × 37: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 925 down further with the prime factorization calculator, or compare 925 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.