Factor Calculator

Factors of 310

The factors of 310 are 1, 2, 5, 10, 31, 62, 155, and 310. In total, 310 has 8 factors. Its prime factorization is 2 × 5 × 31, and the sum of all its factors is 576.

All factors of 310

Here are all 8 factors of 310, listed from smallest to largest.

125103162155310

Factor pairs of 310

These 4 pairs of whole numbers each multiply to give 310.

1 × 310 = 310
2 × 155 = 310
5 × 62 = 310
10 × 31 = 310

Prime factorization of 310

Dividing 310 by the smallest prime at each step gives its prime factorization:

310 ÷ 2 = 155
155 ÷ 5 = 31
31 ÷ 31 = 1
Result: 310 = 2 × 5 × 31 = 2 × 5 × 31

The distinct prime factors of 310 are 2, 5, 31. To factorize any other number, use the prime factorization calculator.

Factor tree of 310

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

Factor tree of 3103102155531
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 310

Number of factors8
Sum of factors576
Sum of proper factors266
Prime factorization2 × 5 × 31
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 310 interesting

  • 310 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.
  • 310 is a deficient number: its proper factors sum to 266, which is 44 less than 310 itself.
  • 310 has 3 distinct prime factors (2, 5, 31), which is why it has so many divisors.

How to find the factors of 310 yourself

Divide 310 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 √310 ≈ 17.61, because every factor above that pairs with one below it.

310 ÷ 1 = 310 ✓
310 ÷ 2 = 155 ✓
310 ÷ 5 = 62 ✓
310 ÷ 10 = 31 ✓

Reading both columns gives every factor: 1, 2, 5, 10, 31, 62, 155, 310. The factor calculator does this automatically for any number.

Numbers mathematically connected to 310.

Frequently asked questions about 310

What are the factors of 310?

The factors of 310 are 1, 2, 5, 10, 31, 62, 155, and 310. That is 8 factors in total, counting both 1 and 310.

Is 310 a prime number?

No, 310 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 310 is also divisible by 2.

What is the prime factorization of 310?

The prime factorization of 310 is 2 × 5 × 31. Written out in full: 2 × 5 × 31 = 310. Its distinct prime factors are 2, 5, 31.

What two numbers multiply to give 310?

There are 4 pairs of whole numbers that multiply to 310: 1 × 310, 2 × 155, 5 × 62, 10 × 31.

What is the sum of the factors of 310?

Adding all the factors of 310 together gives 576. Excluding 310 itself, the proper factors sum to 266.

Is 310 a perfect square?

No, 310 is not a perfect square. There is no whole number that multiplies by itself to give 310. The nearest perfect squares are 289 and 324.

What is the largest factor of 310 other than itself?

The largest factor of 310 apart from 310 itself is 155, since 310 ÷ 155 = 2.

How many factors does 310 have?

310 has 8 factors: 1, 2, 5, 10, 31, 62, 155, and 310. You can verify this from the prime factorization 2 × 5 × 31: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 310 down further with the prime factorization calculator, or compare 310 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.