Factor Calculator

Factors of 232

The factors of 232 are 1, 2, 4, 8, 29, 58, 116, and 232. In total, 232 has 8 factors. Its prime factorization is 2³ × 29, and the sum of all its factors is 450.

All factors of 232

Here are all 8 factors of 232, listed from smallest to largest.

12482958116232

Factor pairs of 232

These 4 pairs of whole numbers each multiply to give 232.

1 × 232 = 232
2 × 116 = 232
4 × 58 = 232
8 × 29 = 232

Prime factorization of 232

Dividing 232 by the smallest prime at each step gives its prime factorization:

232 ÷ 2 = 116
116 ÷ 2 = 58
58 ÷ 2 = 29
29 ÷ 29 = 1
Result: 232 = 2 × 2 × 2 × 29 = 2³ × 29

The distinct prime factors of 232 are 2, 29. To factorize any other number, use the prime factorization calculator.

Factor tree of 232

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

Factor tree of 2322322116258229
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 232

Number of factors8
Sum of factors450
Sum of proper factors218
Prime factorization2³ × 29
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 232 interesting

  • 232 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 232 is a deficient number: its proper factors sum to 218, which is 14 less than 232 itself.

How to find the factors of 232 yourself

Divide 232 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 √232 ≈ 15.23, because every factor above that pairs with one below it.

232 ÷ 1 = 232 ✓
232 ÷ 2 = 116 ✓
232 ÷ 4 = 58 ✓
232 ÷ 8 = 29 ✓

Reading both columns gives every factor: 1, 2, 4, 8, 29, 58, 116, 232. The factor calculator does this automatically for any number.

Numbers mathematically connected to 232.

Frequently asked questions about 232

What are the factors of 232?

The factors of 232 are 1, 2, 4, 8, 29, 58, 116, and 232. That is 8 factors in total, counting both 1 and 232.

Is 232 a prime number?

No, 232 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 232 is also divisible by 2.

What is the prime factorization of 232?

The prime factorization of 232 is 2³ × 29. Written out in full: 2 × 2 × 2 × 29 = 232. Its distinct prime factors are 2, 29.

What two numbers multiply to give 232?

There are 4 pairs of whole numbers that multiply to 232: 1 × 232, 2 × 116, 4 × 58, 8 × 29.

What is the sum of the factors of 232?

Adding all the factors of 232 together gives 450. Excluding 232 itself, the proper factors sum to 218.

Is 232 a perfect square?

No, 232 is not a perfect square. There is no whole number that multiplies by itself to give 232. The nearest perfect squares are 225 and 256.

What is the largest factor of 232 other than itself?

The largest factor of 232 apart from 232 itself is 116, since 232 ÷ 116 = 2.

How many factors does 232 have?

232 has 8 factors: 1, 2, 4, 8, 29, 58, 116, and 232. You can verify this from the prime factorization 2³ × 29: add 1 to each exponent and multiply, giving 4 × 2 = 8.

Explore more

Try another number in the factor calculator, break 232 down further with the prime factorization calculator, or compare 232 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.