Factor Calculator

Factors of 234

The factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, and 234. In total, 234 has 12 factors. Its prime factorization is 2 × 3² × 13, and the sum of all its factors is 546.

All factors of 234

Here are all 12 factors of 234, listed from smallest to largest.

123691318263978117234

Factor pairs of 234

These 6 pairs of whole numbers each multiply to give 234.

1 × 234 = 234
2 × 117 = 234
3 × 78 = 234
6 × 39 = 234
9 × 26 = 234
13 × 18 = 234

Prime factorization of 234

Dividing 234 by the smallest prime at each step gives its prime factorization:

234 ÷ 2 = 117
117 ÷ 3 = 39
39 ÷ 3 = 13
13 ÷ 13 = 1
Result: 234 = 2 × 3 × 3 × 13 = 2 × 3² × 13

The distinct prime factors of 234 are 2, 3, 13. To factorize any other number, use the prime factorization calculator.

Factor tree of 234

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

Factor tree of 2342342117339313
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 234

Number of factors12
Sum of factors546
Sum of proper factors312
Prime factorization2 × 3² × 13
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 234 interesting

  • 234 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
  • 234 is an abundant number: its proper factors sum to 312, which is 78 more than 234 itself.
  • 234 has 3 distinct prime factors (2, 3, 13), which is why it has so many divisors.

How to find the factors of 234 yourself

Divide 234 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 √234 ≈ 15.30, because every factor above that pairs with one below it.

234 ÷ 1 = 234 ✓
234 ÷ 2 = 117 ✓
234 ÷ 3 = 78 ✓
234 ÷ 6 = 39 ✓
234 ÷ 9 = 26 ✓
234 ÷ 13 = 18 ✓

Reading both columns gives every factor: 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234. The factor calculator does this automatically for any number.

Numbers mathematically connected to 234.

Frequently asked questions about 234

What are the factors of 234?

The factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, and 234. That is 12 factors in total, counting both 1 and 234.

Is 234 a prime number?

No, 234 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 234 is also divisible by 2.

What is the prime factorization of 234?

The prime factorization of 234 is 2 × 3² × 13. Written out in full: 2 × 3 × 3 × 13 = 234. Its distinct prime factors are 2, 3, 13.

What two numbers multiply to give 234?

There are 6 pairs of whole numbers that multiply to 234: 1 × 234, 2 × 117, 3 × 78, 6 × 39, 9 × 26, 13 × 18.

What is the sum of the factors of 234?

Adding all the factors of 234 together gives 546. Excluding 234 itself, the proper factors sum to 312.

Is 234 a perfect square?

No, 234 is not a perfect square. There is no whole number that multiplies by itself to give 234. The nearest perfect squares are 225 and 256.

What is the largest factor of 234 other than itself?

The largest factor of 234 apart from 234 itself is 117, since 234 ÷ 117 = 2.

How many factors does 234 have?

234 has 12 factors: 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, and 234. You can verify this from the prime factorization 2 × 3² × 13: add 1 to each exponent and multiply, giving 2 × 3 × 2 = 12.

Explore more

Try another number in the factor calculator, break 234 down further with the prime factorization calculator, or compare 234 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.