Factor Calculator

Factors of 44

The factors of 44 are 1, 2, 4, 11, 22, and 44. In total, 44 has 6 factors. Its prime factorization is 2² × 11, and the sum of all its factors is 84.

All factors of 44

Here are all 6 factors of 44, listed from smallest to largest.

124112244

Factor pairs of 44

These 3 pairs of whole numbers each multiply to give 44.

1 × 44 = 44
2 × 22 = 44
4 × 11 = 44

Prime factorization of 44

Dividing 44 by the smallest prime at each step gives its prime factorization:

44 ÷ 2 = 22
22 ÷ 2 = 11
11 ÷ 11 = 1
Result: 44 = 2 × 2 × 11 = 2² × 11

The distinct prime factors of 44 are 2, 11. To factorize any other number, use the prime factorization calculator.

Factor tree of 44

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

Factor tree of 4444222211
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 44

Number of factors6
Sum of factors84
Sum of proper factors40
Prime factorization2² × 11
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 44 interesting

  • 44 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
  • 44 is a deficient number: its proper factors sum to 40, which is 4 less than 44 itself.

How to find the factors of 44 yourself

Divide 44 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 √44 ≈ 6.63, because every factor above that pairs with one below it.

44 ÷ 1 = 44 ✓
44 ÷ 2 = 22 ✓
44 ÷ 4 = 11 ✓

Reading both columns gives every factor: 1, 2, 4, 11, 22, 44. The factor calculator does this automatically for any number.

Numbers mathematically connected to 44.

Frequently asked questions about 44

What are the factors of 44?

The factors of 44 are 1, 2, 4, 11, 22, and 44. That is 6 factors in total, counting both 1 and 44.

Is 44 a prime number?

No, 44 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 44 is also divisible by 2.

What is the prime factorization of 44?

The prime factorization of 44 is 2² × 11. Written out in full: 2 × 2 × 11 = 44. Its distinct prime factors are 2, 11.

What two numbers multiply to give 44?

There are 3 pairs of whole numbers that multiply to 44: 1 × 44, 2 × 22, 4 × 11.

What is the sum of the factors of 44?

Adding all the factors of 44 together gives 84. Excluding 44 itself, the proper factors sum to 40.

Is 44 a perfect square?

No, 44 is not a perfect square. There is no whole number that multiplies by itself to give 44. The nearest perfect squares are 36 and 49.

What is the largest factor of 44 other than itself?

The largest factor of 44 apart from 44 itself is 22, since 44 ÷ 22 = 2.

How many factors does 44 have?

44 has 6 factors: 1, 2, 4, 11, 22, and 44. You can verify this from the prime factorization 2² × 11: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 44 down further with the prime factorization calculator, or compare 44 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.