Factor Calculator

Factors of 799

The factors of 799 are 1, 17, 47, and 799. In total, 799 has 4 factors. Its prime factorization is 17 × 47, and the sum of all its factors is 864.

All factors of 799

Here are all 4 factors of 799, listed from smallest to largest.

11747799

Factor pairs of 799

These 2 pairs of whole numbers each multiply to give 799.

1 × 799 = 799
17 × 47 = 799

Prime factorization of 799

Dividing 799 by the smallest prime at each step gives its prime factorization:

799 ÷ 17 = 47
47 ÷ 47 = 1
Result: 799 = 17 × 47 = 17 × 47

The distinct prime factors of 799 are 17, 47. To factorize any other number, use the prime factorization calculator.

Factor tree of 799

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

Factor tree of 7997991747
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 799

Number of factors4
Sum of factors864
Sum of proper factors65
Prime factorization17 × 47
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 799 interesting

  • 799 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.
  • 799 is a deficient number: its proper factors sum to 65, which is 734 less than 799 itself.

How to find the factors of 799 yourself

Divide 799 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 √79928.27, because every factor above that pairs with one below it.

799 ÷ 1 = 799
799 ÷ 17 = 47

Reading both columns gives every factor: 1, 17, 47, 799. The factor calculator does this automatically for any number.

Frequently asked questions about 799

What are the factors of 799?

The factors of 799 are 1, 17, 47, and 799. That is 4 factors in total, counting both 1 and 799.

Is 799 a prime number?

No, 799 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 799 is also divisible by 17.

What is the prime factorization of 799?

The prime factorization of 799 is 17 × 47. Written out in full: 17 × 47 = 799. Its distinct prime factors are 17, 47.

What two numbers multiply to give 799?

There are 2 pairs of whole numbers that multiply to 799: 1 × 799, 17 × 47.

What is the sum of the factors of 799?

Adding all the factors of 799 together gives 864. Excluding 799 itself, the proper factors sum to 65.

Is 799 a perfect square?

No, 799 is not a perfect square. There is no whole number that multiplies by itself to give 799. The nearest perfect squares are 784 and 841.

What is the largest factor of 799 other than itself?

The largest factor of 799 apart from 799 itself is 47, since 799 ÷ 47 = 17.

How many factors does 799 have?

799 has 4 factors: 1, 17, 47, and 799. You can verify this from the prime factorization 17 × 47: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 799 down further with the prime factorization calculator, or compare 799 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.