Factor Calculator

Factors of 731

The factors of 731 are 1, 17, 43, and 731. In total, 731 has 4 factors. Its prime factorization is 17 × 43, and the sum of all its factors is 792.

All factors of 731

Here are all 4 factors of 731, listed from smallest to largest.

11743731

Factor pairs of 731

These 2 pairs of whole numbers each multiply to give 731.

1 × 731 = 731
17 × 43 = 731

Prime factorization of 731

Dividing 731 by the smallest prime at each step gives its prime factorization:

731 ÷ 17 = 43
43 ÷ 43 = 1
Result: 731 = 17 × 43 = 17 × 43

The distinct prime factors of 731 are 17, 43. To factorize any other number, use the prime factorization calculator.

Factor tree of 731

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

Factor tree of 7317311743
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 731

Number of factors4
Sum of factors792
Sum of proper factors61
Prime factorization17 × 43
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 731 interesting

  • 731 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
  • 731 is a deficient number: its proper factors sum to 61, which is 670 less than 731 itself.

How to find the factors of 731 yourself

Divide 731 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 √731 ≈ 27.04, because every factor above that pairs with one below it.

731 ÷ 1 = 731 ✓
731 ÷ 17 = 43 ✓

Reading both columns gives every factor: 1, 17, 43, 731. The factor calculator does this automatically for any number.

Numbers mathematically connected to 731.

Frequently asked questions about 731

What are the factors of 731?

The factors of 731 are 1, 17, 43, and 731. That is 4 factors in total, counting both 1 and 731.

Is 731 a prime number?

No, 731 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 731 is also divisible by 17.

What is the prime factorization of 731?

The prime factorization of 731 is 17 × 43. Written out in full: 17 × 43 = 731. Its distinct prime factors are 17, 43.

What two numbers multiply to give 731?

There are 2 pairs of whole numbers that multiply to 731: 1 × 731, 17 × 43.

What is the sum of the factors of 731?

Adding all the factors of 731 together gives 792. Excluding 731 itself, the proper factors sum to 61.

Is 731 a perfect square?

No, 731 is not a perfect square. There is no whole number that multiplies by itself to give 731. The nearest perfect squares are 729 and 784.

What is the largest factor of 731 other than itself?

The largest factor of 731 apart from 731 itself is 43, since 731 ÷ 43 = 17.

How many factors does 731 have?

731 has 4 factors: 1, 17, 43, and 731. You can verify this from the prime factorization 17 × 43: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 731 down further with the prime factorization calculator, or compare 731 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.