Factor Calculator

Factors of 156

The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, and 156. In total, 156 has 12 factors. Its prime factorization is 2² × 3 × 13, and the sum of all its factors is 392.

All factors of 156

Here are all 12 factors of 156, listed from smallest to largest.

12346121326395278156

Factor pairs of 156

These 6 pairs of whole numbers each multiply to give 156.

1 × 156 = 156
2 × 78 = 156
3 × 52 = 156
4 × 39 = 156
6 × 26 = 156
12 × 13 = 156

Prime factorization of 156

Dividing 156 by the smallest prime at each step gives its prime factorization:

156 ÷ 2 = 78
78 ÷ 2 = 39
39 ÷ 3 = 13
13 ÷ 13 = 1
Result: 156 = 2 × 2 × 3 × 13 = 2² × 3 × 13

The distinct prime factors of 156 are 2, 3, 13. To factorize any other number, use the prime factorization calculator.

Factor tree of 156

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

Factor tree of 156156278239313
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 156

Number of factors12
Sum of factors392
Sum of proper factors236
Prime factorization2² × 3 × 13
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 156 interesting

  • 156 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
  • 156 is an abundant number: its proper factors sum to 236, which is 80 more than 156 itself.
  • 156 has 3 distinct prime factors (2, 3, 13), which is why it has so many divisors.

How to find the factors of 156 yourself

Divide 156 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 √156 ≈ 12.49, because every factor above that pairs with one below it.

156 ÷ 1 = 156 ✓
156 ÷ 2 = 78 ✓
156 ÷ 3 = 52 ✓
156 ÷ 4 = 39 ✓
156 ÷ 6 = 26 ✓
156 ÷ 12 = 13 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156. The factor calculator does this automatically for any number.

Numbers mathematically connected to 156.

Frequently asked questions about 156

What are the factors of 156?

The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, and 156. That is 12 factors in total, counting both 1 and 156.

Is 156 a prime number?

No, 156 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 156 is also divisible by 2.

What is the prime factorization of 156?

The prime factorization of 156 is 2² × 3 × 13. Written out in full: 2 × 2 × 3 × 13 = 156. Its distinct prime factors are 2, 3, 13.

What two numbers multiply to give 156?

There are 6 pairs of whole numbers that multiply to 156: 1 × 156, 2 × 78, 3 × 52, 4 × 39, 6 × 26, 12 × 13.

What is the sum of the factors of 156?

Adding all the factors of 156 together gives 392. Excluding 156 itself, the proper factors sum to 236.

Is 156 a perfect square?

No, 156 is not a perfect square. There is no whole number that multiplies by itself to give 156. The nearest perfect squares are 144 and 169.

What is the largest factor of 156 other than itself?

The largest factor of 156 apart from 156 itself is 78, since 156 ÷ 78 = 2.

How many factors does 156 have?

156 has 12 factors: 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, and 156. You can verify this from the prime factorization 2² × 3 × 13: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

Explore more

Try another number in the factor calculator, break 156 down further with the prime factorization calculator, or compare 156 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.