Factor Calculator

Factors of 792

The factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, and 792. In total, 792 has 24 factors. Its prime factorization is 2³ × 3² × 11, and the sum of all its factors is 2340.

All factors of 792

Here are all 24 factors of 792, listed from smallest to largest.

1234689111218222433364466728899132198264396792

Factor pairs of 792

These 12 pairs of whole numbers each multiply to give 792.

1 × 792 = 792
2 × 396 = 792
3 × 264 = 792
4 × 198 = 792
6 × 132 = 792
8 × 99 = 792
9 × 88 = 792
11 × 72 = 792
12 × 66 = 792
18 × 44 = 792
22 × 36 = 792
24 × 33 = 792

Prime factorization of 792

Dividing 792 by the smallest prime at each step gives its prime factorization:

792 ÷ 2 = 396
396 ÷ 2 = 198
198 ÷ 2 = 99
99 ÷ 3 = 33
33 ÷ 3 = 11
11 ÷ 11 = 1
Result: 792 = 2 × 2 × 2 × 3 × 3 × 11 = 2³ × 3² × 11

The distinct prime factors of 792 are 2, 3, 11. To factorize any other number, use the prime factorization calculator.

Factor tree of 792

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

Factor tree of 79279223962198299333311
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 792

Number of factors24
Sum of factors2340
Sum of proper factors1548
Prime factorization2³ × 3² × 11
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 792 interesting

  • 792 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 12 different ways.
  • 792 is an abundant number: its proper factors sum to 1548, which is 756 more than 792 itself.
  • 792 has 3 distinct prime factors (2, 3, 11), which is why it has so many divisors.

How to find the factors of 792 yourself

Divide 792 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 √792 ≈ 28.14, because every factor above that pairs with one below it.

792 ÷ 1 = 792 ✓
792 ÷ 2 = 396 ✓
792 ÷ 3 = 264 ✓
792 ÷ 4 = 198 ✓
792 ÷ 6 = 132 ✓
792 ÷ 8 = 99 ✓
792 ÷ 9 = 88 ✓
792 ÷ 11 = 72 ✓
792 ÷ 12 = 66 ✓
792 ÷ 18 = 44 ✓
792 ÷ 22 = 36 ✓
792 ÷ 24 = 33 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792. The factor calculator does this automatically for any number.

Numbers mathematically connected to 792.

Frequently asked questions about 792

What are the factors of 792?

The factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, and 792. That is 24 factors in total, counting both 1 and 792.

Is 792 a prime number?

No, 792 is not prime — it is a composite number with 24 factors. A prime number has exactly two factors, but 792 is also divisible by 2.

What is the prime factorization of 792?

The prime factorization of 792 is 2³ × 3² × 11. Written out in full: 2 × 2 × 2 × 3 × 3 × 11 = 792. Its distinct prime factors are 2, 3, 11.

What two numbers multiply to give 792?

There are 12 pairs of whole numbers that multiply to 792: 1 × 792, 2 × 396, 3 × 264, 4 × 198, 6 × 132, 8 × 99, 9 × 88, 11 × 72, 12 × 66, 18 × 44, 22 × 36, 24 × 33.

What is the sum of the factors of 792?

Adding all the factors of 792 together gives 2340. Excluding 792 itself, the proper factors sum to 1548.

Is 792 a perfect square?

No, 792 is not a perfect square. There is no whole number that multiplies by itself to give 792. The nearest perfect squares are 784 and 841.

What is the largest factor of 792 other than itself?

The largest factor of 792 apart from 792 itself is 396, since 792 ÷ 396 = 2.

How many factors does 792 have?

792 has 24 factors: 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, and 792. You can verify this from the prime factorization 2³ × 3² × 11: add 1 to each exponent and multiply, giving 4 × 3 × 2 = 24.

Explore more

Try another number in the factor calculator, break 792 down further with the prime factorization calculator, or compare 792 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.