Factor Calculator

Factors of 796

The factors of 796 are 1, 2, 4, 199, 398, and 796. In total, 796 has 6 factors. Its prime factorization is 2² × 199, and the sum of all its factors is 1400.

All factors of 796

Here are all 6 factors of 796, listed from smallest to largest.

124199398796

Factor pairs of 796

These 3 pairs of whole numbers each multiply to give 796.

1 × 796 = 796
2 × 398 = 796
4 × 199 = 796

Prime factorization of 796

Dividing 796 by the smallest prime at each step gives its prime factorization:

796 ÷ 2 = 398
398 ÷ 2 = 199
199 ÷ 199 = 1
Result: 796 = 2 × 2 × 199 = 2² × 199

The distinct prime factors of 796 are 2, 199. To factorize any other number, use the prime factorization calculator.

Factor tree of 796

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

Factor tree of 79679623982199
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 796

Number of factors6
Sum of factors1400
Sum of proper factors604
Prime factorization2² × 199
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 796 interesting

  • 796 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
  • 796 is a deficient number: its proper factors sum to 604, which is 192 less than 796 itself.

How to find the factors of 796 yourself

Divide 796 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 √79628.21, because every factor above that pairs with one below it.

796 ÷ 1 = 796
796 ÷ 2 = 398
796 ÷ 4 = 199

Reading both columns gives every factor: 1, 2, 4, 199, 398, 796. The factor calculator does this automatically for any number.

Frequently asked questions about 796

What are the factors of 796?

The factors of 796 are 1, 2, 4, 199, 398, and 796. That is 6 factors in total, counting both 1 and 796.

Is 796 a prime number?

No, 796 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 796 is also divisible by 2.

What is the prime factorization of 796?

The prime factorization of 796 is 2² × 199. Written out in full: 2 × 2 × 199 = 796. Its distinct prime factors are 2, 199.

What two numbers multiply to give 796?

There are 3 pairs of whole numbers that multiply to 796: 1 × 796, 2 × 398, 4 × 199.

What is the sum of the factors of 796?

Adding all the factors of 796 together gives 1400. Excluding 796 itself, the proper factors sum to 604.

Is 796 a perfect square?

No, 796 is not a perfect square. There is no whole number that multiplies by itself to give 796. The nearest perfect squares are 784 and 841.

What is the largest factor of 796 other than itself?

The largest factor of 796 apart from 796 itself is 398, since 796 ÷ 398 = 2.

How many factors does 796 have?

796 has 6 factors: 1, 2, 4, 199, 398, and 796. You can verify this from the prime factorization 2² × 199: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 796 down further with the prime factorization calculator, or compare 796 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.