Factor Calculator

Factors of 331

The factors of 331 are 1 and 331. Since 331 is a prime number, it has exactly 2 factors and cannot be divided evenly by any other whole number. The sum of its factors is 332, and its prime factorization is simply 331 itself.

All factors of 331

Here are all 2 factors of 331, listed from smallest to largest.

1331

Factor pairs of 331

There is only one factor pair for 331, because it is prime.

1 × 331 = 331

Prime factorization of 331

331 is a prime number, so it cannot be broken down further. Its prime factorization is simply 331.

Properties of 331

Number of factors2
Sum of factors332
Sum of proper factors1
Prime factorization331
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 331 interesting

  • 331 is a prime number, so its only factors are 1 and 331. It cannot be split into a product of two smaller whole numbers.
  • Every prime number is deficient — the sum of its proper factors is always 1, which is far less than the number itself.

How to find the factors of 331 yourself

Divide 331 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 √331 ≈ 18.19, because every factor above that pairs with one below it.

331 ÷ 1 = 331 ✓

Reading both columns gives every factor: 1, 331. The factor calculator does this automatically for any number.

Numbers mathematically connected to 331.

Frequently asked questions about 331

What are the factors of 331?

The factors of 331 are 1 and 331. That is 2 factors in total, counting both 1 and 331.

Is 331 a prime number?

Yes, 331 is a prime number. It has exactly two factors: 1 and 331. No other whole number divides it evenly.

What is the prime factorization of 331?

331 is already prime, so its prime factorization is simply 331. It cannot be broken down any further.

What two numbers multiply to give 331?

There is 1 pair of whole numbers that multiply to 331: 1 × 331.

What is the sum of the factors of 331?

Adding all the factors of 331 together gives 332. Excluding 331 itself, the proper factors sum to 1.

Is 331 a perfect square?

No, 331 is not a perfect square. There is no whole number that multiplies by itself to give 331. The nearest perfect squares are 324 and 361.

What is the largest factor of 331 other than itself?

The largest factor of 331 apart from 331 itself is 1, since 331 ÷ 1 = 331.

How many factors does 331 have?

331 has 2 factors: 1 and 331.

Explore more

Try another number in the factor calculator, break 331 down further with the prime factorization calculator, or compare 331 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.