Factor Calculator

Factors of 118

The factors of 118 are 1, 2, 59, and 118. In total, 118 has 4 factors. Its prime factorization is 2 × 59, and the sum of all its factors is 180.

All factors of 118

Here are all 4 factors of 118, listed from smallest to largest.

1259118

Factor pairs of 118

These 2 pairs of whole numbers each multiply to give 118.

1 × 118 = 118
2 × 59 = 118

Prime factorization of 118

Dividing 118 by the smallest prime at each step gives its prime factorization:

118 ÷ 2 = 59
59 ÷ 59 = 1
Result: 118 = 2 × 59 = 2 × 59

The distinct prime factors of 118 are 2, 59. To factorize any other number, use the prime factorization calculator.

Factor tree of 118

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

Factor tree of 118118259
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 118

Number of factors4
Sum of factors180
Sum of proper factors62
Prime factorization2 × 59
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 118 interesting

  • 118 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.
  • 118 is a deficient number: its proper factors sum to 62, which is 56 less than 118 itself.

How to find the factors of 118 yourself

Divide 118 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 √118 ≈ 10.86, because every factor above that pairs with one below it.

118 ÷ 1 = 118 ✓
118 ÷ 2 = 59 ✓

Reading both columns gives every factor: 1, 2, 59, 118. The factor calculator does this automatically for any number.

Numbers mathematically connected to 118.

Frequently asked questions about 118

What are the factors of 118?

The factors of 118 are 1, 2, 59, and 118. That is 4 factors in total, counting both 1 and 118.

Is 118 a prime number?

No, 118 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 118 is also divisible by 2.

What is the prime factorization of 118?

The prime factorization of 118 is 2 × 59. Written out in full: 2 × 59 = 118. Its distinct prime factors are 2, 59.

What two numbers multiply to give 118?

There are 2 pairs of whole numbers that multiply to 118: 1 × 118, 2 × 59.

What is the sum of the factors of 118?

Adding all the factors of 118 together gives 180. Excluding 118 itself, the proper factors sum to 62.

Is 118 a perfect square?

No, 118 is not a perfect square. There is no whole number that multiplies by itself to give 118. The nearest perfect squares are 100 and 121.

What is the largest factor of 118 other than itself?

The largest factor of 118 apart from 118 itself is 59, since 118 ÷ 59 = 2.

How many factors does 118 have?

118 has 4 factors: 1, 2, 59, and 118. You can verify this from the prime factorization 2 × 59: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 118 down further with the prime factorization calculator, or compare 118 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.