Factor Calculator

Factors of 159

The factors of 159 are 1, 3, 53, and 159. In total, 159 has 4 factors. Its prime factorization is 3 × 53, and the sum of all its factors is 216.

All factors of 159

Here are all 4 factors of 159, listed from smallest to largest.

1353159

Factor pairs of 159

These 2 pairs of whole numbers each multiply to give 159.

1 × 159 = 159
3 × 53 = 159

Prime factorization of 159

Dividing 159 by the smallest prime at each step gives its prime factorization:

159 ÷ 3 = 53
53 ÷ 53 = 1
Result: 159 = 3 × 53 = 3 × 53

The distinct prime factors of 159 are 3, 53. To factorize any other number, use the prime factorization calculator.

Factor tree of 159

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

Factor tree of 159159353
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 159

Number of factors4
Sum of factors216
Sum of proper factors57
Prime factorization3 × 53
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 159 interesting

  • 159 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.
  • 159 is a deficient number: its proper factors sum to 57, which is 102 less than 159 itself.

How to find the factors of 159 yourself

Divide 159 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 √159 ≈ 12.61, because every factor above that pairs with one below it.

159 ÷ 1 = 159 ✓
159 ÷ 3 = 53 ✓

Reading both columns gives every factor: 1, 3, 53, 159. The factor calculator does this automatically for any number.

Numbers mathematically connected to 159.

Frequently asked questions about 159

What are the factors of 159?

The factors of 159 are 1, 3, 53, and 159. That is 4 factors in total, counting both 1 and 159.

Is 159 a prime number?

No, 159 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 159 is also divisible by 3.

What is the prime factorization of 159?

The prime factorization of 159 is 3 × 53. Written out in full: 3 × 53 = 159. Its distinct prime factors are 3, 53.

What two numbers multiply to give 159?

There are 2 pairs of whole numbers that multiply to 159: 1 × 159, 3 × 53.

What is the sum of the factors of 159?

Adding all the factors of 159 together gives 216. Excluding 159 itself, the proper factors sum to 57.

Is 159 a perfect square?

No, 159 is not a perfect square. There is no whole number that multiplies by itself to give 159. The nearest perfect squares are 144 and 169.

What is the largest factor of 159 other than itself?

The largest factor of 159 apart from 159 itself is 53, since 159 ÷ 53 = 3.

How many factors does 159 have?

159 has 4 factors: 1, 3, 53, and 159. You can verify this from the prime factorization 3 × 53: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 159 down further with the prime factorization calculator, or compare 159 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.