Factor Calculator

Factors of 230

The factors of 230 are 1, 2, 5, 10, 23, 46, 115, and 230. In total, 230 has 8 factors. Its prime factorization is 2 × 5 × 23, and the sum of all its factors is 432.

All factors of 230

Here are all 8 factors of 230, listed from smallest to largest.

125102346115230

Factor pairs of 230

These 4 pairs of whole numbers each multiply to give 230.

1 × 230 = 230
2 × 115 = 230
5 × 46 = 230
10 × 23 = 230

Prime factorization of 230

Dividing 230 by the smallest prime at each step gives its prime factorization:

230 ÷ 2 = 115
115 ÷ 5 = 23
23 ÷ 23 = 1
Result: 230 = 2 × 5 × 23 = 2 × 5 × 23

The distinct prime factors of 230 are 2, 5, 23. To factorize any other number, use the prime factorization calculator.

Factor tree of 230

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

Factor tree of 2302302115523
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 230

Number of factors8
Sum of factors432
Sum of proper factors202
Prime factorization2 × 5 × 23
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 230 interesting

  • 230 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.
  • 230 is a deficient number: its proper factors sum to 202, which is 28 less than 230 itself.
  • 230 has 3 distinct prime factors (2, 5, 23), which is why it has so many divisors.

How to find the factors of 230 yourself

Divide 230 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 √230 ≈ 15.17, because every factor above that pairs with one below it.

230 ÷ 1 = 230 ✓
230 ÷ 2 = 115 ✓
230 ÷ 5 = 46 ✓
230 ÷ 10 = 23 ✓

Reading both columns gives every factor: 1, 2, 5, 10, 23, 46, 115, 230. The factor calculator does this automatically for any number.

Numbers mathematically connected to 230.

Frequently asked questions about 230

What are the factors of 230?

The factors of 230 are 1, 2, 5, 10, 23, 46, 115, and 230. That is 8 factors in total, counting both 1 and 230.

Is 230 a prime number?

No, 230 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 230 is also divisible by 2.

What is the prime factorization of 230?

The prime factorization of 230 is 2 × 5 × 23. Written out in full: 2 × 5 × 23 = 230. Its distinct prime factors are 2, 5, 23.

What two numbers multiply to give 230?

There are 4 pairs of whole numbers that multiply to 230: 1 × 230, 2 × 115, 5 × 46, 10 × 23.

What is the sum of the factors of 230?

Adding all the factors of 230 together gives 432. Excluding 230 itself, the proper factors sum to 202.

Is 230 a perfect square?

No, 230 is not a perfect square. There is no whole number that multiplies by itself to give 230. The nearest perfect squares are 225 and 256.

What is the largest factor of 230 other than itself?

The largest factor of 230 apart from 230 itself is 115, since 230 ÷ 115 = 2.

How many factors does 230 have?

230 has 8 factors: 1, 2, 5, 10, 23, 46, 115, and 230. You can verify this from the prime factorization 2 × 5 × 23: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 230 down further with the prime factorization calculator, or compare 230 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.