Factor Calculator

Factors of 944

The factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, and 944. In total, 944 has 10 factors. Its prime factorization is 2⁴ × 59, and the sum of all its factors is 1860.

All factors of 944

Here are all 10 factors of 944, listed from smallest to largest.

12481659118236472944

Factor pairs of 944

These 5 pairs of whole numbers each multiply to give 944.

1 × 944 = 944
2 × 472 = 944
4 × 236 = 944
8 × 118 = 944
16 × 59 = 944

Prime factorization of 944

Dividing 944 by the smallest prime at each step gives its prime factorization:

944 ÷ 2 = 472
472 ÷ 2 = 236
236 ÷ 2 = 118
118 ÷ 2 = 59
59 ÷ 59 = 1
Result: 944 = 2 × 2 × 2 × 2 × 59 = 2⁴ × 59

The distinct prime factors of 944 are 2, 59. To factorize any other number, use the prime factorization calculator.

Factor tree of 944

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

Factor tree of 944944247222362118259
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 944

Number of factors10
Sum of factors1860
Sum of proper factors916
Prime factorization2⁴ × 59
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 944 interesting

  • 944 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 5 different ways.
  • 944 is a deficient number: its proper factors sum to 916, which is 28 less than 944 itself.

How to find the factors of 944 yourself

Divide 944 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 √944 ≈ 30.72, because every factor above that pairs with one below it.

944 ÷ 1 = 944 ✓
944 ÷ 2 = 472 ✓
944 ÷ 4 = 236 ✓
944 ÷ 8 = 118 ✓
944 ÷ 16 = 59 ✓

Reading both columns gives every factor: 1, 2, 4, 8, 16, 59, 118, 236, 472, 944. The factor calculator does this automatically for any number.

Numbers mathematically connected to 944.

Frequently asked questions about 944

What are the factors of 944?

The factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, and 944. That is 10 factors in total, counting both 1 and 944.

Is 944 a prime number?

No, 944 is not prime — it is a composite number with 10 factors. A prime number has exactly two factors, but 944 is also divisible by 2.

What is the prime factorization of 944?

The prime factorization of 944 is 2⁴ × 59. Written out in full: 2 × 2 × 2 × 2 × 59 = 944. Its distinct prime factors are 2, 59.

What two numbers multiply to give 944?

There are 5 pairs of whole numbers that multiply to 944: 1 × 944, 2 × 472, 4 × 236, 8 × 118, 16 × 59.

What is the sum of the factors of 944?

Adding all the factors of 944 together gives 1860. Excluding 944 itself, the proper factors sum to 916.

Is 944 a perfect square?

No, 944 is not a perfect square. There is no whole number that multiplies by itself to give 944. The nearest perfect squares are 900 and 961.

What is the largest factor of 944 other than itself?

The largest factor of 944 apart from 944 itself is 472, since 944 ÷ 472 = 2.

How many factors does 944 have?

944 has 10 factors: 1, 2, 4, 8, 16, 59, 118, 236, 472, and 944. You can verify this from the prime factorization 2⁴ × 59: add 1 to each exponent and multiply, giving 5 × 2 = 10.

Explore more

Try another number in the factor calculator, break 944 down further with the prime factorization calculator, or compare 944 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.