Factor Calculator

Factors of 798

The factors of 798 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, and 798. In total, 798 has 16 factors. Its prime factorization is 2 × 3 × 7 × 19, and the sum of all its factors is 1920.

All factors of 798

Here are all 16 factors of 798, listed from smallest to largest.

12367141921384257114133266399798

Factor pairs of 798

These 8 pairs of whole numbers each multiply to give 798.

1 × 798 = 798
2 × 399 = 798
3 × 266 = 798
6 × 133 = 798
7 × 114 = 798
14 × 57 = 798
19 × 42 = 798
21 × 38 = 798

Prime factorization of 798

Dividing 798 by the smallest prime at each step gives its prime factorization:

798 ÷ 2 = 399
399 ÷ 3 = 133
133 ÷ 7 = 19
19 ÷ 19 = 1
Result: 798 = 2 × 3 × 7 × 19 = 2 × 3 × 7 × 19

The distinct prime factors of 798 are 2, 3, 7, 19. To factorize any other number, use the prime factorization calculator.

Factor tree of 798

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

Factor tree of 79879823993133719
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 798

Number of factors16
Sum of factors1920
Sum of proper factors1122
Prime factorization2 × 3 × 7 × 19
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 798 interesting

  • 798 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
  • 798 is an abundant number: its proper factors sum to 1122, which is 324 more than 798 itself.
  • 798 has 4 distinct prime factors (2, 3, 7, 19), which is why it has so many divisors.

How to find the factors of 798 yourself

Divide 798 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 √79828.25, because every factor above that pairs with one below it.

798 ÷ 1 = 798
798 ÷ 2 = 399
798 ÷ 3 = 266
798 ÷ 6 = 133
798 ÷ 7 = 114
798 ÷ 14 = 57
798 ÷ 19 = 42
798 ÷ 21 = 38

Reading both columns gives every factor: 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798. The factor calculator does this automatically for any number.

Frequently asked questions about 798

What are the factors of 798?

The factors of 798 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, and 798. That is 16 factors in total, counting both 1 and 798.

Is 798 a prime number?

No, 798 is not prime — it is a composite number with 16 factors. A prime number has exactly two factors, but 798 is also divisible by 2.

What is the prime factorization of 798?

The prime factorization of 798 is 2 × 3 × 7 × 19. Written out in full: 2 × 3 × 7 × 19 = 798. Its distinct prime factors are 2, 3, 7, 19.

What two numbers multiply to give 798?

There are 8 pairs of whole numbers that multiply to 798: 1 × 798, 2 × 399, 3 × 266, 6 × 133, 7 × 114, 14 × 57, 19 × 42, 21 × 38.

What is the sum of the factors of 798?

Adding all the factors of 798 together gives 1920. Excluding 798 itself, the proper factors sum to 1122.

Is 798 a perfect square?

No, 798 is not a perfect square. There is no whole number that multiplies by itself to give 798. The nearest perfect squares are 784 and 841.

What is the largest factor of 798 other than itself?

The largest factor of 798 apart from 798 itself is 399, since 798 ÷ 399 = 2.

How many factors does 798 have?

798 has 16 factors: 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, and 798. You can verify this from the prime factorization 2 × 3 × 7 × 19: add 1 to each exponent and multiply, giving 2 × 2 × 2 × 2 = 16.

Explore more

Try another number in the factor calculator, break 798 down further with the prime factorization calculator, or compare 798 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.