Factor Calculator

Factors of 318

The factors of 318 are 1, 2, 3, 6, 53, 106, 159, and 318. In total, 318 has 8 factors. Its prime factorization is 2 × 3 × 53, and the sum of all its factors is 648.

All factors of 318

Here are all 8 factors of 318, listed from smallest to largest.

123653106159318

Factor pairs of 318

These 4 pairs of whole numbers each multiply to give 318.

1 × 318 = 318
2 × 159 = 318
3 × 106 = 318
6 × 53 = 318

Prime factorization of 318

Dividing 318 by the smallest prime at each step gives its prime factorization:

318 ÷ 2 = 159
159 ÷ 3 = 53
53 ÷ 53 = 1
Result: 318 = 2 × 3 × 53 = 2 × 3 × 53

The distinct prime factors of 318 are 2, 3, 53. To factorize any other number, use the prime factorization calculator.

Factor tree of 318

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

Factor tree of 3183182159353
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 318

Number of factors8
Sum of factors648
Sum of proper factors330
Prime factorization2 × 3 × 53
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 318 interesting

  • 318 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.
  • 318 is an abundant number: its proper factors sum to 330, which is 12 more than 318 itself.
  • 318 has 3 distinct prime factors (2, 3, 53), which is why it has so many divisors.

How to find the factors of 318 yourself

Divide 318 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 √31817.83, because every factor above that pairs with one below it.

318 ÷ 1 = 318
318 ÷ 2 = 159
318 ÷ 3 = 106
318 ÷ 6 = 53

Reading both columns gives every factor: 1, 2, 3, 6, 53, 106, 159, 318. The factor calculator does this automatically for any number.

Frequently asked questions about 318

What are the factors of 318?

The factors of 318 are 1, 2, 3, 6, 53, 106, 159, and 318. That is 8 factors in total, counting both 1 and 318.

Is 318 a prime number?

No, 318 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 318 is also divisible by 2.

What is the prime factorization of 318?

The prime factorization of 318 is 2 × 3 × 53. Written out in full: 2 × 3 × 53 = 318. Its distinct prime factors are 2, 3, 53.

What two numbers multiply to give 318?

There are 4 pairs of whole numbers that multiply to 318: 1 × 318, 2 × 159, 3 × 106, 6 × 53.

What is the sum of the factors of 318?

Adding all the factors of 318 together gives 648. Excluding 318 itself, the proper factors sum to 330.

Is 318 a perfect square?

No, 318 is not a perfect square. There is no whole number that multiplies by itself to give 318. The nearest perfect squares are 289 and 324.

What is the largest factor of 318 other than itself?

The largest factor of 318 apart from 318 itself is 159, since 318 ÷ 159 = 2.

How many factors does 318 have?

318 has 8 factors: 1, 2, 3, 6, 53, 106, 159, and 318. You can verify this from the prime factorization 2 × 3 × 53: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 318 down further with the prime factorization calculator, or compare 318 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.