Factor Calculator

Factors of 236

The factors of 236 are 1, 2, 4, 59, 118, and 236. In total, 236 has 6 factors. Its prime factorization is 2² × 59, and the sum of all its factors is 420.

All factors of 236

Here are all 6 factors of 236, listed from smallest to largest.

12459118236

Factor pairs of 236

These 3 pairs of whole numbers each multiply to give 236.

1 × 236 = 236
2 × 118 = 236
4 × 59 = 236

Prime factorization of 236

Dividing 236 by the smallest prime at each step gives its prime factorization:

236 ÷ 2 = 118
118 ÷ 2 = 59
59 ÷ 59 = 1
Result: 236 = 2 × 2 × 59 = 2² × 59

The distinct prime factors of 236 are 2, 59. To factorize any other number, use the prime factorization calculator.

Factor tree of 236

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

Factor tree of 2362362118259
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 236

Number of factors6
Sum of factors420
Sum of proper factors184
Prime factorization2² × 59
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 236 interesting

  • 236 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
  • 236 is a deficient number: its proper factors sum to 184, which is 52 less than 236 itself.

How to find the factors of 236 yourself

Divide 236 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 √236 ≈ 15.36, because every factor above that pairs with one below it.

236 ÷ 1 = 236 ✓
236 ÷ 2 = 118 ✓
236 ÷ 4 = 59 ✓

Reading both columns gives every factor: 1, 2, 4, 59, 118, 236. The factor calculator does this automatically for any number.

Numbers mathematically connected to 236.

Frequently asked questions about 236

What are the factors of 236?

The factors of 236 are 1, 2, 4, 59, 118, and 236. That is 6 factors in total, counting both 1 and 236.

Is 236 a prime number?

No, 236 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 236 is also divisible by 2.

What is the prime factorization of 236?

The prime factorization of 236 is 2² × 59. Written out in full: 2 × 2 × 59 = 236. Its distinct prime factors are 2, 59.

What two numbers multiply to give 236?

There are 3 pairs of whole numbers that multiply to 236: 1 × 236, 2 × 118, 4 × 59.

What is the sum of the factors of 236?

Adding all the factors of 236 together gives 420. Excluding 236 itself, the proper factors sum to 184.

Is 236 a perfect square?

No, 236 is not a perfect square. There is no whole number that multiplies by itself to give 236. The nearest perfect squares are 225 and 256.

What is the largest factor of 236 other than itself?

The largest factor of 236 apart from 236 itself is 118, since 236 ÷ 118 = 2.

How many factors does 236 have?

236 has 6 factors: 1, 2, 4, 59, 118, and 236. You can verify this from the prime factorization 2² × 59: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 236 down further with the prime factorization calculator, or compare 236 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.