Factor Calculator

Factors of 918

The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, and 918. In total, 918 has 16 factors. Its prime factorization is 2 × 3³ × 17, and the sum of all its factors is 2160.

All factors of 918

Here are all 16 factors of 918, listed from smallest to largest.

12369171827345154102153306459918

Factor pairs of 918

These 8 pairs of whole numbers each multiply to give 918.

1 × 918 = 918
2 × 459 = 918
3 × 306 = 918
6 × 153 = 918
9 × 102 = 918
17 × 54 = 918
18 × 51 = 918
27 × 34 = 918

Prime factorization of 918

Dividing 918 by the smallest prime at each step gives its prime factorization:

918 ÷ 2 = 459
459 ÷ 3 = 153
153 ÷ 3 = 51
51 ÷ 3 = 17
17 ÷ 17 = 1
Result: 918 = 2 × 3 × 3 × 3 × 17 = 2 × 3³ × 17

The distinct prime factors of 918 are 2, 3, 17. To factorize any other number, use the prime factorization calculator.

Factor tree of 918

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

Factor tree of 91891824593153351317
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 918

Number of factors16
Sum of factors2160
Sum of proper factors1242
Prime factorization2 × 3³ × 17
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 918 interesting

  • 918 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
  • 918 is an abundant number: its proper factors sum to 1242, which is 324 more than 918 itself.
  • 918 has 3 distinct prime factors (2, 3, 17), which is why it has so many divisors.

How to find the factors of 918 yourself

Divide 918 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 √918 ≈ 30.30, because every factor above that pairs with one below it.

918 ÷ 1 = 918 ✓
918 ÷ 2 = 459 ✓
918 ÷ 3 = 306 ✓
918 ÷ 6 = 153 ✓
918 ÷ 9 = 102 ✓
918 ÷ 17 = 54 ✓
918 ÷ 18 = 51 ✓
918 ÷ 27 = 34 ✓

Reading both columns gives every factor: 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918. The factor calculator does this automatically for any number.

Numbers mathematically connected to 918.

Frequently asked questions about 918

What are the factors of 918?

The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, and 918. That is 16 factors in total, counting both 1 and 918.

Is 918 a prime number?

No, 918 is not prime — it is a composite number with 16 factors. A prime number has exactly two factors, but 918 is also divisible by 2.

What is the prime factorization of 918?

The prime factorization of 918 is 2 × 3³ × 17. Written out in full: 2 × 3 × 3 × 3 × 17 = 918. Its distinct prime factors are 2, 3, 17.

What two numbers multiply to give 918?

There are 8 pairs of whole numbers that multiply to 918: 1 × 918, 2 × 459, 3 × 306, 6 × 153, 9 × 102, 17 × 54, 18 × 51, 27 × 34.

What is the sum of the factors of 918?

Adding all the factors of 918 together gives 2160. Excluding 918 itself, the proper factors sum to 1242.

Is 918 a perfect square?

No, 918 is not a perfect square. There is no whole number that multiplies by itself to give 918. The nearest perfect squares are 900 and 961.

What is the largest factor of 918 other than itself?

The largest factor of 918 apart from 918 itself is 459, since 918 ÷ 459 = 2.

How many factors does 918 have?

918 has 16 factors: 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, and 918. You can verify this from the prime factorization 2 × 3³ × 17: add 1 to each exponent and multiply, giving 2 × 4 × 2 = 16.

Explore more

Try another number in the factor calculator, break 918 down further with the prime factorization calculator, or compare 918 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.