Factor Calculator

Factors of 1159

The factors of 1159 are 1, 19, 61, and 1159. In total, 1159 has 4 factors. Its prime factorization is 19 × 61, and the sum of all its factors is 1240.

All factors of 1159

Here are all 4 factors of 1159, listed from smallest to largest.

119611159

Factor pairs of 1159

These 2 pairs of whole numbers each multiply to give 1159.

1 × 1159 = 1159
19 × 61 = 1159

Prime factorization of 1159

Dividing 1159 by the smallest prime at each step gives its prime factorization:

1159 ÷ 19 = 61
61 ÷ 61 = 1
Result: 1159 = 19 × 61 = 19 × 61

The distinct prime factors of 1159 are 19, 61. To factorize any other number, use the prime factorization calculator.

Factor tree of 1159

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

Factor tree of 115911591961
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1159

Number of factors4
Sum of factors1240
Sum of proper factors81
Prime factorization19 × 61
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1159 interesting

  • 1159 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.
  • 1159 is a deficient number: its proper factors sum to 81, which is 1078 less than 1159 itself.

How to find the factors of 1159 yourself

Divide 1159 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 √115934.04, because every factor above that pairs with one below it.

1159 ÷ 1 = 1159
1159 ÷ 19 = 61

Reading both columns gives every factor: 1, 19, 61, 1159. The factor calculator does this automatically for any number.

Frequently asked questions about 1159

What are the factors of 1159?

The factors of 1159 are 1, 19, 61, and 1159. That is 4 factors in total, counting both 1 and 1159.

Is 1159 a prime number?

No, 1159 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 1159 is also divisible by 19.

What is the prime factorization of 1159?

The prime factorization of 1159 is 19 × 61. Written out in full: 19 × 61 = 1159. Its distinct prime factors are 19, 61.

What two numbers multiply to give 1159?

There are 2 pairs of whole numbers that multiply to 1159: 1 × 1159, 19 × 61.

What is the sum of the factors of 1159?

Adding all the factors of 1159 together gives 1240. Excluding 1159 itself, the proper factors sum to 81.

Is 1159 a perfect square?

No, 1159 is not a perfect square. There is no whole number that multiplies by itself to give 1159. The nearest perfect squares are 1156 and 1225.

What is the largest factor of 1159 other than itself?

The largest factor of 1159 apart from 1159 itself is 61, since 1159 ÷ 61 = 19.

How many factors does 1159 have?

1159 has 4 factors: 1, 19, 61, and 1159. You can verify this from the prime factorization 19 × 61: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 1159 down further with the prime factorization calculator, or compare 1159 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.