Factor Calculator

Factors of 940

The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, and 940. In total, 940 has 12 factors. Its prime factorization is 2² × 5 × 47, and the sum of all its factors is 2016.

All factors of 940

Here are all 12 factors of 940, listed from smallest to largest.

124510204794188235470940

Factor pairs of 940

These 6 pairs of whole numbers each multiply to give 940.

1 × 940 = 940
2 × 470 = 940
4 × 235 = 940
5 × 188 = 940
10 × 94 = 940
20 × 47 = 940

Prime factorization of 940

Dividing 940 by the smallest prime at each step gives its prime factorization:

940 ÷ 2 = 470
470 ÷ 2 = 235
235 ÷ 5 = 47
47 ÷ 47 = 1
Result: 940 = 2 × 2 × 5 × 47 = 2² × 5 × 47

The distinct prime factors of 940 are 2, 5, 47. To factorize any other number, use the prime factorization calculator.

Factor tree of 940

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

Factor tree of 94094024702235547
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 940

Number of factors12
Sum of factors2016
Sum of proper factors1076
Prime factorization2² × 5 × 47
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 940 interesting

  • 940 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.
  • 940 is an abundant number: its proper factors sum to 1076, which is 136 more than 940 itself.
  • 940 has 3 distinct prime factors (2, 5, 47), which is why it has so many divisors.

How to find the factors of 940 yourself

Divide 940 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 √940 ≈ 30.66, because every factor above that pairs with one below it.

940 ÷ 1 = 940 ✓
940 ÷ 2 = 470 ✓
940 ÷ 4 = 235 ✓
940 ÷ 5 = 188 ✓
940 ÷ 10 = 94 ✓
940 ÷ 20 = 47 ✓

Reading both columns gives every factor: 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940. The factor calculator does this automatically for any number.

Numbers mathematically connected to 940.

Frequently asked questions about 940

What are the factors of 940?

The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, and 940. That is 12 factors in total, counting both 1 and 940.

Is 940 a prime number?

No, 940 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 940 is also divisible by 2.

What is the prime factorization of 940?

The prime factorization of 940 is 2² × 5 × 47. Written out in full: 2 × 2 × 5 × 47 = 940. Its distinct prime factors are 2, 5, 47.

What two numbers multiply to give 940?

There are 6 pairs of whole numbers that multiply to 940: 1 × 940, 2 × 470, 4 × 235, 5 × 188, 10 × 94, 20 × 47.

What is the sum of the factors of 940?

Adding all the factors of 940 together gives 2016. Excluding 940 itself, the proper factors sum to 1076.

Is 940 a perfect square?

No, 940 is not a perfect square. There is no whole number that multiplies by itself to give 940. The nearest perfect squares are 900 and 961.

What is the largest factor of 940 other than itself?

The largest factor of 940 apart from 940 itself is 470, since 940 ÷ 470 = 2.

How many factors does 940 have?

940 has 12 factors: 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, and 940. You can verify this from the prime factorization 2² × 5 × 47: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

Explore more

Try another number in the factor calculator, break 940 down further with the prime factorization calculator, or compare 940 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.