Factor Calculator

Factors of 1079

The factors of 1079 are 1, 13, 83, and 1079. In total, 1079 has 4 factors. Its prime factorization is 13 × 83, and the sum of all its factors is 1176.

All factors of 1079

Here are all 4 factors of 1079, listed from smallest to largest.

113831079

Factor pairs of 1079

These 2 pairs of whole numbers each multiply to give 1079.

1 × 1079 = 1079
13 × 83 = 1079

Prime factorization of 1079

Dividing 1079 by the smallest prime at each step gives its prime factorization:

1079 ÷ 13 = 83
83 ÷ 83 = 1
Result: 1079 = 13 × 83 = 13 × 83

The distinct prime factors of 1079 are 13, 83. To factorize any other number, use the prime factorization calculator.

Factor tree of 1079

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

Factor tree of 107910791383
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1079

Number of factors4
Sum of factors1176
Sum of proper factors97
Prime factorization13 × 83
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1079 interesting

  • 1079 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.
  • 1079 is a deficient number: its proper factors sum to 97, which is 982 less than 1079 itself.

How to find the factors of 1079 yourself

Divide 1079 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 √1079 ≈ 32.85, because every factor above that pairs with one below it.

1079 ÷ 1 = 1079 ✓
1079 ÷ 13 = 83 ✓

Reading both columns gives every factor: 1, 13, 83, 1079. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1079.

Frequently asked questions about 1079

What are the factors of 1079?

The factors of 1079 are 1, 13, 83, and 1079. That is 4 factors in total, counting both 1 and 1079.

Is 1079 a prime number?

No, 1079 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 1079 is also divisible by 13.

What is the prime factorization of 1079?

The prime factorization of 1079 is 13 × 83. Written out in full: 13 × 83 = 1079. Its distinct prime factors are 13, 83.

What two numbers multiply to give 1079?

There are 2 pairs of whole numbers that multiply to 1079: 1 × 1079, 13 × 83.

What is the sum of the factors of 1079?

Adding all the factors of 1079 together gives 1176. Excluding 1079 itself, the proper factors sum to 97.

Is 1079 a perfect square?

No, 1079 is not a perfect square. There is no whole number that multiplies by itself to give 1079. The nearest perfect squares are 1024 and 1089.

What is the largest factor of 1079 other than itself?

The largest factor of 1079 apart from 1079 itself is 83, since 1079 ÷ 83 = 13.

How many factors does 1079 have?

1079 has 4 factors: 1, 13, 83, and 1079. You can verify this from the prime factorization 13 × 83: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 1079 down further with the prime factorization calculator, or compare 1079 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.