Factor Calculator

Factors of 791

The factors of 791 are 1, 7, 113, and 791. In total, 791 has 4 factors. Its prime factorization is 7 × 113, and the sum of all its factors is 912.

All factors of 791

Here are all 4 factors of 791, listed from smallest to largest.

17113791

Factor pairs of 791

These 2 pairs of whole numbers each multiply to give 791.

1 × 791 = 791
7 × 113 = 791

Prime factorization of 791

Dividing 791 by the smallest prime at each step gives its prime factorization:

791 ÷ 7 = 113
113 ÷ 113 = 1
Result: 791 = 7 × 113 = 7 × 113

The distinct prime factors of 791 are 7, 113. To factorize any other number, use the prime factorization calculator.

Factor tree of 791

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

Factor tree of 7917917113
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 791

Number of factors4
Sum of factors912
Sum of proper factors121
Prime factorization7 × 113
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 791 interesting

  • 791 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.
  • 791 is a deficient number: its proper factors sum to 121, which is 670 less than 791 itself.

How to find the factors of 791 yourself

Divide 791 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 √79128.12, because every factor above that pairs with one below it.

791 ÷ 1 = 791
791 ÷ 7 = 113

Reading both columns gives every factor: 1, 7, 113, 791. The factor calculator does this automatically for any number.

Frequently asked questions about 791

What are the factors of 791?

The factors of 791 are 1, 7, 113, and 791. That is 4 factors in total, counting both 1 and 791.

Is 791 a prime number?

No, 791 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 791 is also divisible by 7.

What is the prime factorization of 791?

The prime factorization of 791 is 7 × 113. Written out in full: 7 × 113 = 791. Its distinct prime factors are 7, 113.

What two numbers multiply to give 791?

There are 2 pairs of whole numbers that multiply to 791: 1 × 791, 7 × 113.

What is the sum of the factors of 791?

Adding all the factors of 791 together gives 912. Excluding 791 itself, the proper factors sum to 121.

Is 791 a perfect square?

No, 791 is not a perfect square. There is no whole number that multiplies by itself to give 791. The nearest perfect squares are 784 and 841.

What is the largest factor of 791 other than itself?

The largest factor of 791 apart from 791 itself is 113, since 791 ÷ 113 = 7.

How many factors does 791 have?

791 has 4 factors: 1, 7, 113, and 791. You can verify this from the prime factorization 7 × 113: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 791 down further with the prime factorization calculator, or compare 791 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.