Factor Calculator

Factors of 130

The factors of 130 are 1, 2, 5, 10, 13, 26, 65, and 130. In total, 130 has 8 factors. Its prime factorization is 2 × 5 × 13, and the sum of all its factors is 252.

All factors of 130

Here are all 8 factors of 130, listed from smallest to largest.

12510132665130

Factor pairs of 130

These 4 pairs of whole numbers each multiply to give 130.

1 × 130 = 130
2 × 65 = 130
5 × 26 = 130
10 × 13 = 130

Prime factorization of 130

Dividing 130 by the smallest prime at each step gives its prime factorization:

130 ÷ 2 = 65
65 ÷ 5 = 13
13 ÷ 13 = 1
Result: 130 = 2 × 5 × 13 = 2 × 5 × 13

The distinct prime factors of 130 are 2, 5, 13. To factorize any other number, use the prime factorization calculator.

Factor tree of 130

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

Factor tree of 130130265513
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 130

Number of factors8
Sum of factors252
Sum of proper factors122
Prime factorization2 × 5 × 13
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 130 interesting

  • 130 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 130 is a deficient number: its proper factors sum to 122, which is 8 less than 130 itself.
  • 130 has 3 distinct prime factors (2, 5, 13), which is why it has so many divisors.

How to find the factors of 130 yourself

Divide 130 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 √13011.40, because every factor above that pairs with one below it.

130 ÷ 1 = 130
130 ÷ 2 = 65
130 ÷ 5 = 26
130 ÷ 10 = 13

Reading both columns gives every factor: 1, 2, 5, 10, 13, 26, 65, 130. The factor calculator does this automatically for any number.

Frequently asked questions about 130

What are the factors of 130?

The factors of 130 are 1, 2, 5, 10, 13, 26, 65, and 130. That is 8 factors in total, counting both 1 and 130.

Is 130 a prime number?

No, 130 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 130 is also divisible by 2.

What is the prime factorization of 130?

The prime factorization of 130 is 2 × 5 × 13. Written out in full: 2 × 5 × 13 = 130. Its distinct prime factors are 2, 5, 13.

What two numbers multiply to give 130?

There are 4 pairs of whole numbers that multiply to 130: 1 × 130, 2 × 65, 5 × 26, 10 × 13.

What is the sum of the factors of 130?

Adding all the factors of 130 together gives 252. Excluding 130 itself, the proper factors sum to 122.

Is 130 a perfect square?

No, 130 is not a perfect square. There is no whole number that multiplies by itself to give 130. The nearest perfect squares are 121 and 144.

What is the largest factor of 130 other than itself?

The largest factor of 130 apart from 130 itself is 65, since 130 ÷ 65 = 2.

How many factors does 130 have?

130 has 8 factors: 1, 2, 5, 10, 13, 26, 65, and 130. You can verify this from the prime factorization 2 × 5 × 13: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 130 down further with the prime factorization calculator, or compare 130 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.