Factor Calculator

Factors of 237

The factors of 237 are 1, 3, 79, and 237. In total, 237 has 4 factors. Its prime factorization is 3 × 79, and the sum of all its factors is 320.

All factors of 237

Here are all 4 factors of 237, listed from smallest to largest.

1379237

Factor pairs of 237

These 2 pairs of whole numbers each multiply to give 237.

1 × 237 = 237
3 × 79 = 237

Prime factorization of 237

Dividing 237 by the smallest prime at each step gives its prime factorization:

237 ÷ 3 = 79
79 ÷ 79 = 1
Result: 237 = 3 × 79 = 3 × 79

The distinct prime factors of 237 are 3, 79. To factorize any other number, use the prime factorization calculator.

Factor tree of 237

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

Factor tree of 237237379
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 237

Number of factors4
Sum of factors320
Sum of proper factors83
Prime factorization3 × 79
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 237 interesting

  • 237 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.
  • 237 is a deficient number: its proper factors sum to 83, which is 154 less than 237 itself.

How to find the factors of 237 yourself

Divide 237 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 √23715.39, because every factor above that pairs with one below it.

237 ÷ 1 = 237
237 ÷ 3 = 79

Reading both columns gives every factor: 1, 3, 79, 237. The factor calculator does this automatically for any number.

Frequently asked questions about 237

What are the factors of 237?

The factors of 237 are 1, 3, 79, and 237. That is 4 factors in total, counting both 1 and 237.

Is 237 a prime number?

No, 237 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 237 is also divisible by 3.

What is the prime factorization of 237?

The prime factorization of 237 is 3 × 79. Written out in full: 3 × 79 = 237. Its distinct prime factors are 3, 79.

What two numbers multiply to give 237?

There are 2 pairs of whole numbers that multiply to 237: 1 × 237, 3 × 79.

What is the sum of the factors of 237?

Adding all the factors of 237 together gives 320. Excluding 237 itself, the proper factors sum to 83.

Is 237 a perfect square?

No, 237 is not a perfect square. There is no whole number that multiplies by itself to give 237. The nearest perfect squares are 225 and 256.

What is the largest factor of 237 other than itself?

The largest factor of 237 apart from 237 itself is 79, since 237 ÷ 79 = 3.

How many factors does 237 have?

237 has 4 factors: 1, 3, 79, and 237. You can verify this from the prime factorization 3 × 79: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 237 down further with the prime factorization calculator, or compare 237 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.