Factor Calculator

Factors of 10

The factors of 10 are 1, 2, 5, and 10. In total, 10 has 4 factors. Its prime factorization is 2 × 5, and the sum of all its factors is 18.

All factors of 10

Here are all 4 factors of 10, listed from smallest to largest.

12510

Factor pairs of 10

These 2 pairs of whole numbers each multiply to give 10.

1 × 10 = 10
2 × 5 = 10

Prime factorization of 10

Dividing 10 by the smallest prime at each step gives its prime factorization:

10 ÷ 2 = 5
5 ÷ 5 = 1
Result: 10 = 2 × 5 = 2 × 5

The distinct prime factors of 10 are 2, 5. To factorize any other number, use the prime factorization calculator.

Factor tree of 10

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

Factor tree of 101025
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 10

Number of factors4
Sum of factors18
Sum of proper factors8
Prime factorization2 × 5
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 10 interesting

  • 10 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.
  • 10 is a deficient number: its proper factors sum to 8, which is 2 less than 10 itself.
  • 10 is a triangular number — it is the sum of the first 4 whole numbers (1 + 2 + … + 4 = 10).

How to find the factors of 10 yourself

Divide 10 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 √103.16, because every factor above that pairs with one below it.

10 ÷ 1 = 10
10 ÷ 2 = 5

Reading both columns gives every factor: 1, 2, 5, 10. The factor calculator does this automatically for any number.

Frequently asked questions about 10

What are the factors of 10?

The factors of 10 are 1, 2, 5, and 10. That is 4 factors in total, counting both 1 and 10.

Is 10 a prime number?

No, 10 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 10 is also divisible by 2.

What is the prime factorization of 10?

The prime factorization of 10 is 2 × 5. Written out in full: 2 × 5 = 10. Its distinct prime factors are 2, 5.

What two numbers multiply to give 10?

There are 2 pairs of whole numbers that multiply to 10: 1 × 10, 2 × 5.

What is the sum of the factors of 10?

Adding all the factors of 10 together gives 18. Excluding 10 itself, the proper factors sum to 8.

Is 10 a perfect square?

No, 10 is not a perfect square. There is no whole number that multiplies by itself to give 10. The nearest perfect squares are 9 and 16.

What is the largest factor of 10 other than itself?

The largest factor of 10 apart from 10 itself is 5, since 10 ÷ 5 = 2.

How many factors does 10 have?

10 has 4 factors: 1, 2, 5, and 10. You can verify this from the prime factorization 2 × 5: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 10 down further with the prime factorization calculator, or compare 10 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.