Factor Calculator

Factors of 240

The factors of 240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, and 240. In total, 240 has 20 factors. Its prime factorization is 2⁴ × 3 × 5, and the sum of all its factors is 744.

All factors of 240

Here are all 20 factors of 240, listed from smallest to largest.

12345681012151620243040486080120240

Factor pairs of 240

These 10 pairs of whole numbers each multiply to give 240.

1 × 240 = 240
2 × 120 = 240
3 × 80 = 240
4 × 60 = 240
5 × 48 = 240
6 × 40 = 240
8 × 30 = 240
10 × 24 = 240
12 × 20 = 240
15 × 16 = 240

Prime factorization of 240

Dividing 240 by the smallest prime at each step gives its prime factorization:

240 ÷ 2 = 120
120 ÷ 2 = 60
60 ÷ 2 = 30
30 ÷ 2 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1
Result: 240 = 2 × 2 × 2 × 2 × 3 × 5 = 2⁴ × 3 × 5

The distinct prime factors of 240 are 2, 3, 5. To factorize any other number, use the prime factorization calculator.

Factor tree of 240

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

Factor tree of 240240212026023021535
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 240

Number of factors20
Sum of factors744
Sum of proper factors504
Prime factorization2⁴ × 3 × 5
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 240 interesting

  • 240 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 10 different ways.
  • 240 is an abundant number: its proper factors sum to 504, which is 264 more than 240 itself.
  • 240 is a highly composite number — it has more factors (20) than any smaller positive integer. Numbers like this are useful in measurement systems because they divide evenly so many ways.
  • 240 has 3 distinct prime factors (2, 3, 5), which is why it has so many divisors.

How to find the factors of 240 yourself

Divide 240 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 √240 ≈ 15.49, because every factor above that pairs with one below it.

240 ÷ 1 = 240 ✓
240 ÷ 2 = 120 ✓
240 ÷ 3 = 80 ✓
240 ÷ 4 = 60 ✓
240 ÷ 5 = 48 ✓
240 ÷ 6 = 40 ✓
240 ÷ 8 = 30 ✓
240 ÷ 10 = 24 ✓
240 ÷ 12 = 20 ✓
240 ÷ 15 = 16 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240. The factor calculator does this automatically for any number.

Numbers mathematically connected to 240.

Frequently asked questions about 240

What are the factors of 240?

The factors of 240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, and 240. That is 20 factors in total, counting both 1 and 240.

Is 240 a prime number?

No, 240 is not prime — it is a composite number with 20 factors. A prime number has exactly two factors, but 240 is also divisible by 2.

What is the prime factorization of 240?

The prime factorization of 240 is 2⁴ × 3 × 5. Written out in full: 2 × 2 × 2 × 2 × 3 × 5 = 240. Its distinct prime factors are 2, 3, 5.

What two numbers multiply to give 240?

There are 10 pairs of whole numbers that multiply to 240: 1 × 240, 2 × 120, 3 × 80, 4 × 60, 5 × 48, 6 × 40, 8 × 30, 10 × 24, 12 × 20, 15 × 16.

What is the sum of the factors of 240?

Adding all the factors of 240 together gives 744. Excluding 240 itself, the proper factors sum to 504.

Is 240 a perfect square?

No, 240 is not a perfect square. There is no whole number that multiplies by itself to give 240. The nearest perfect squares are 225 and 256.

What is the largest factor of 240 other than itself?

The largest factor of 240 apart from 240 itself is 120, since 240 ÷ 120 = 2.

How many factors does 240 have?

240 has 20 factors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, and 240. You can verify this from the prime factorization 2⁴ × 3 × 5: add 1 to each exponent and multiply, giving 5 × 2 × 2 = 20.

Explore more

Try another number in the factor calculator, break 240 down further with the prime factorization calculator, or compare 240 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.