Factor Calculator

Factors of 979

The factors of 979 are 1, 11, 89, and 979. In total, 979 has 4 factors. Its prime factorization is 11 × 89, and the sum of all its factors is 1080.

All factors of 979

Here are all 4 factors of 979, listed from smallest to largest.

11189979

Factor pairs of 979

These 2 pairs of whole numbers each multiply to give 979.

1 × 979 = 979
11 × 89 = 979

Prime factorization of 979

Dividing 979 by the smallest prime at each step gives its prime factorization:

979 ÷ 11 = 89
89 ÷ 89 = 1
Result: 979 = 11 × 89 = 11 × 89

The distinct prime factors of 979 are 11, 89. To factorize any other number, use the prime factorization calculator.

Factor tree of 979

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

Factor tree of 9799791189
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 979

Number of factors4
Sum of factors1080
Sum of proper factors101
Prime factorization11 × 89
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 979 interesting

  • 979 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.
  • 979 is a deficient number: its proper factors sum to 101, which is 878 less than 979 itself.

How to find the factors of 979 yourself

Divide 979 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 √979 ≈ 31.29, because every factor above that pairs with one below it.

979 ÷ 1 = 979 ✓
979 ÷ 11 = 89 ✓

Reading both columns gives every factor: 1, 11, 89, 979. The factor calculator does this automatically for any number.

Numbers mathematically connected to 979.

Frequently asked questions about 979

What are the factors of 979?

The factors of 979 are 1, 11, 89, and 979. That is 4 factors in total, counting both 1 and 979.

Is 979 a prime number?

No, 979 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 979 is also divisible by 11.

What is the prime factorization of 979?

The prime factorization of 979 is 11 × 89. Written out in full: 11 × 89 = 979. Its distinct prime factors are 11, 89.

What two numbers multiply to give 979?

There are 2 pairs of whole numbers that multiply to 979: 1 × 979, 11 × 89.

What is the sum of the factors of 979?

Adding all the factors of 979 together gives 1080. Excluding 979 itself, the proper factors sum to 101.

Is 979 a perfect square?

No, 979 is not a perfect square. There is no whole number that multiplies by itself to give 979. The nearest perfect squares are 961 and 1024.

What is the largest factor of 979 other than itself?

The largest factor of 979 apart from 979 itself is 89, since 979 ÷ 89 = 11.

How many factors does 979 have?

979 has 4 factors: 1, 11, 89, and 979. You can verify this from the prime factorization 11 × 89: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 979 down further with the prime factorization calculator, or compare 979 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.