Factor Calculator

Factors of 790

The factors of 790 are 1, 2, 5, 10, 79, 158, 395, and 790. In total, 790 has 8 factors. Its prime factorization is 2 × 5 × 79, and the sum of all its factors is 1440.

All factors of 790

Here are all 8 factors of 790, listed from smallest to largest.

1251079158395790

Factor pairs of 790

These 4 pairs of whole numbers each multiply to give 790.

1 × 790 = 790
2 × 395 = 790
5 × 158 = 790
10 × 79 = 790

Prime factorization of 790

Dividing 790 by the smallest prime at each step gives its prime factorization:

790 ÷ 2 = 395
395 ÷ 5 = 79
79 ÷ 79 = 1
Result: 790 = 2 × 5 × 79 = 2 × 5 × 79

The distinct prime factors of 790 are 2, 5, 79. To factorize any other number, use the prime factorization calculator.

Factor tree of 790

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

Factor tree of 7907902395579
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 790

Number of factors8
Sum of factors1440
Sum of proper factors650
Prime factorization2 × 5 × 79
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 790 interesting

  • 790 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 790 is a deficient number: its proper factors sum to 650, which is 140 less than 790 itself.
  • 790 has 3 distinct prime factors (2, 5, 79), which is why it has so many divisors.

How to find the factors of 790 yourself

Divide 790 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 √79028.11, because every factor above that pairs with one below it.

790 ÷ 1 = 790
790 ÷ 2 = 395
790 ÷ 5 = 158
790 ÷ 10 = 79

Reading both columns gives every factor: 1, 2, 5, 10, 79, 158, 395, 790. The factor calculator does this automatically for any number.

Frequently asked questions about 790

What are the factors of 790?

The factors of 790 are 1, 2, 5, 10, 79, 158, 395, and 790. That is 8 factors in total, counting both 1 and 790.

Is 790 a prime number?

No, 790 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 790 is also divisible by 2.

What is the prime factorization of 790?

The prime factorization of 790 is 2 × 5 × 79. Written out in full: 2 × 5 × 79 = 790. Its distinct prime factors are 2, 5, 79.

What two numbers multiply to give 790?

There are 4 pairs of whole numbers that multiply to 790: 1 × 790, 2 × 395, 5 × 158, 10 × 79.

What is the sum of the factors of 790?

Adding all the factors of 790 together gives 1440. Excluding 790 itself, the proper factors sum to 650.

Is 790 a perfect square?

No, 790 is not a perfect square. There is no whole number that multiplies by itself to give 790. The nearest perfect squares are 784 and 841.

What is the largest factor of 790 other than itself?

The largest factor of 790 apart from 790 itself is 395, since 790 ÷ 395 = 2.

How many factors does 790 have?

790 has 8 factors: 1, 2, 5, 10, 79, 158, 395, and 790. You can verify this from the prime factorization 2 × 5 × 79: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 790 down further with the prime factorization calculator, or compare 790 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.