Factor Calculator

Factors of 279

The factors of 279 are 1, 3, 9, 31, 93, and 279. In total, 279 has 6 factors. Its prime factorization is 3² × 31, and the sum of all its factors is 416.

All factors of 279

Here are all 6 factors of 279, listed from smallest to largest.

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Factor pairs of 279

These 3 pairs of whole numbers each multiply to give 279.

1 × 279 = 279
3 × 93 = 279
9 × 31 = 279

Prime factorization of 279

Dividing 279 by the smallest prime at each step gives its prime factorization:

279 ÷ 3 = 93
93 ÷ 3 = 31
31 ÷ 31 = 1
Result: 279 = 3 × 3 × 31 = 3² × 31

The distinct prime factors of 279 are 3, 31. To factorize any other number, use the prime factorization calculator.

Factor tree of 279

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

Factor tree of 279279393331
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 279

Number of factors6
Sum of factors416
Sum of proper factors137
Prime factorization3² × 31
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 279 interesting

  • 279 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
  • 279 is a deficient number: its proper factors sum to 137, which is 142 less than 279 itself.

How to find the factors of 279 yourself

Divide 279 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 √279 ≈ 16.70, because every factor above that pairs with one below it.

279 ÷ 1 = 279 ✓
279 ÷ 3 = 93 ✓
279 ÷ 9 = 31 ✓

Reading both columns gives every factor: 1, 3, 9, 31, 93, 279. The factor calculator does this automatically for any number.

Numbers mathematically connected to 279.

Frequently asked questions about 279

What are the factors of 279?

The factors of 279 are 1, 3, 9, 31, 93, and 279. That is 6 factors in total, counting both 1 and 279.

Is 279 a prime number?

No, 279 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 279 is also divisible by 3.

What is the prime factorization of 279?

The prime factorization of 279 is 3² × 31. Written out in full: 3 × 3 × 31 = 279. Its distinct prime factors are 3, 31.

What two numbers multiply to give 279?

There are 3 pairs of whole numbers that multiply to 279: 1 × 279, 3 × 93, 9 × 31.

What is the sum of the factors of 279?

Adding all the factors of 279 together gives 416. Excluding 279 itself, the proper factors sum to 137.

Is 279 a perfect square?

No, 279 is not a perfect square. There is no whole number that multiplies by itself to give 279. The nearest perfect squares are 256 and 289.

What is the largest factor of 279 other than itself?

The largest factor of 279 apart from 279 itself is 93, since 279 ÷ 93 = 3.

How many factors does 279 have?

279 has 6 factors: 1, 3, 9, 31, 93, and 279. You can verify this from the prime factorization 3² × 31: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 279 down further with the prime factorization calculator, or compare 279 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.