Factor Calculator

Factors of 1137

The factors of 1137 are 1, 3, 379, and 1137. In total, 1137 has 4 factors. Its prime factorization is 3 × 379, and the sum of all its factors is 1520.

All factors of 1137

Here are all 4 factors of 1137, listed from smallest to largest.

133791137

Factor pairs of 1137

These 2 pairs of whole numbers each multiply to give 1137.

1 × 1137 = 1137
3 × 379 = 1137

Prime factorization of 1137

Dividing 1137 by the smallest prime at each step gives its prime factorization:

1137 ÷ 3 = 379
379 ÷ 379 = 1
Result: 1137 = 3 × 379 = 3 × 379

The distinct prime factors of 1137 are 3, 379. To factorize any other number, use the prime factorization calculator.

Factor tree of 1137

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

Factor tree of 113711373379
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1137

Number of factors4
Sum of factors1520
Sum of proper factors383
Prime factorization3 × 379
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1137 interesting

  • 1137 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.
  • 1137 is a deficient number: its proper factors sum to 383, which is 754 less than 1137 itself.

How to find the factors of 1137 yourself

Divide 1137 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 √113733.72, because every factor above that pairs with one below it.

1137 ÷ 1 = 1137
1137 ÷ 3 = 379

Reading both columns gives every factor: 1, 3, 379, 1137. The factor calculator does this automatically for any number.

Frequently asked questions about 1137

What are the factors of 1137?

The factors of 1137 are 1, 3, 379, and 1137. That is 4 factors in total, counting both 1 and 1137.

Is 1137 a prime number?

No, 1137 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 1137 is also divisible by 3.

What is the prime factorization of 1137?

The prime factorization of 1137 is 3 × 379. Written out in full: 3 × 379 = 1137. Its distinct prime factors are 3, 379.

What two numbers multiply to give 1137?

There are 2 pairs of whole numbers that multiply to 1137: 1 × 1137, 3 × 379.

What is the sum of the factors of 1137?

Adding all the factors of 1137 together gives 1520. Excluding 1137 itself, the proper factors sum to 383.

Is 1137 a perfect square?

No, 1137 is not a perfect square. There is no whole number that multiplies by itself to give 1137. The nearest perfect squares are 1089 and 1156.

What is the largest factor of 1137 other than itself?

The largest factor of 1137 apart from 1137 itself is 379, since 1137 ÷ 379 = 3.

How many factors does 1137 have?

1137 has 4 factors: 1, 3, 379, and 1137. You can verify this from the prime factorization 3 × 379: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 1137 down further with the prime factorization calculator, or compare 1137 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.