Factor Calculator

Factors of 316

The factors of 316 are 1, 2, 4, 79, 158, and 316. In total, 316 has 6 factors. Its prime factorization is 2² × 79, and the sum of all its factors is 560.

All factors of 316

Here are all 6 factors of 316, listed from smallest to largest.

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Factor pairs of 316

These 3 pairs of whole numbers each multiply to give 316.

1 × 316 = 316
2 × 158 = 316
4 × 79 = 316

Prime factorization of 316

Dividing 316 by the smallest prime at each step gives its prime factorization:

316 ÷ 2 = 158
158 ÷ 2 = 79
79 ÷ 79 = 1
Result: 316 = 2 × 2 × 79 = 2² × 79

The distinct prime factors of 316 are 2, 79. To factorize any other number, use the prime factorization calculator.

Factor tree of 316

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

Factor tree of 3163162158279
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 316

Number of factors6
Sum of factors560
Sum of proper factors244
Prime factorization2² × 79
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 316 interesting

  • 316 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.
  • 316 is a deficient number: its proper factors sum to 244, which is 72 less than 316 itself.

How to find the factors of 316 yourself

Divide 316 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 √31617.78, because every factor above that pairs with one below it.

316 ÷ 1 = 316
316 ÷ 2 = 158
316 ÷ 4 = 79

Reading both columns gives every factor: 1, 2, 4, 79, 158, 316. The factor calculator does this automatically for any number.

Frequently asked questions about 316

What are the factors of 316?

The factors of 316 are 1, 2, 4, 79, 158, and 316. That is 6 factors in total, counting both 1 and 316.

Is 316 a prime number?

No, 316 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 316 is also divisible by 2.

What is the prime factorization of 316?

The prime factorization of 316 is 2² × 79. Written out in full: 2 × 2 × 79 = 316. Its distinct prime factors are 2, 79.

What two numbers multiply to give 316?

There are 3 pairs of whole numbers that multiply to 316: 1 × 316, 2 × 158, 4 × 79.

What is the sum of the factors of 316?

Adding all the factors of 316 together gives 560. Excluding 316 itself, the proper factors sum to 244.

Is 316 a perfect square?

No, 316 is not a perfect square. There is no whole number that multiplies by itself to give 316. The nearest perfect squares are 289 and 324.

What is the largest factor of 316 other than itself?

The largest factor of 316 apart from 316 itself is 158, since 316 ÷ 158 = 2.

How many factors does 316 have?

316 has 6 factors: 1, 2, 4, 79, 158, and 316. You can verify this from the prime factorization 2² × 79: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 316 down further with the prime factorization calculator, or compare 316 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.