Factor Calculator

Factors of 60

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. In total, 60 has 12 factors. Its prime factorization is 2² × 3 × 5, and the sum of all its factors is 168.

All factors of 60

Here are all 12 factors of 60, listed from smallest to largest.

123456101215203060

Factor pairs of 60

These 6 pairs of whole numbers each multiply to give 60.

1 × 60 = 60
2 × 30 = 60
3 × 20 = 60
4 × 15 = 60
5 × 12 = 60
6 × 10 = 60

Prime factorization of 60

Dividing 60 by the smallest prime at each step gives its prime factorization:

60 ÷ 2 = 30
30 ÷ 2 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1
Result: 60 = 2 × 2 × 3 × 5 = 2² × 3 × 5

The distinct prime factors of 60 are 2, 3, 5. To factorize any other number, use the prime factorization calculator.

Factor tree of 60

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

Factor tree of 606023021535
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 60

Number of factors12
Sum of factors168
Sum of proper factors108
Prime factorization2² × 3 × 5
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 60 interesting

  • 60 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
  • 60 is an abundant number: its proper factors sum to 108, which is 48 more than 60 itself.
  • 60 is a highly composite number — it has more factors (12) than any smaller positive integer. Numbers like this are useful in measurement systems because they divide evenly so many ways.
  • 60 has 3 distinct prime factors (2, 3, 5), which is why it has so many divisors.

How to find the factors of 60 yourself

Divide 60 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 √60 ≈ 7.75, because every factor above that pairs with one below it.

60 ÷ 1 = 60 ✓
60 ÷ 2 = 30 ✓
60 ÷ 3 = 20 ✓
60 ÷ 4 = 15 ✓
60 ÷ 5 = 12 ✓
60 ÷ 6 = 10 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. The factor calculator does this automatically for any number.

Numbers mathematically connected to 60.

Frequently asked questions about 60

What are the factors of 60?

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. That is 12 factors in total, counting both 1 and 60.

Is 60 a prime number?

No, 60 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 60 is also divisible by 2.

What is the prime factorization of 60?

The prime factorization of 60 is 2² × 3 × 5. Written out in full: 2 × 2 × 3 × 5 = 60. Its distinct prime factors are 2, 3, 5.

What two numbers multiply to give 60?

There are 6 pairs of whole numbers that multiply to 60: 1 × 60, 2 × 30, 3 × 20, 4 × 15, 5 × 12, 6 × 10.

What is the sum of the factors of 60?

Adding all the factors of 60 together gives 168. Excluding 60 itself, the proper factors sum to 108.

Is 60 a perfect square?

No, 60 is not a perfect square. There is no whole number that multiplies by itself to give 60. The nearest perfect squares are 49 and 64.

What is the largest factor of 60 other than itself?

The largest factor of 60 apart from 60 itself is 30, since 60 ÷ 30 = 2.

How many factors does 60 have?

60 has 12 factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. You can verify this from the prime factorization 2² × 3 × 5: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

Explore more

Try another number in the factor calculator, break 60 down further with the prime factorization calculator, or compare 60 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.