WorkedMathGlossary

Factors of 44

The factors of 44 are 1, 2, 4, 11, 22, 44. No, 44 is a composite number. Its prime factorization is 2^2 × 11.

Factors of 44
1, 2, 4, 11, 22, 44
6 factors
Prime or Composite
Composite
Perfect Square
No
Prime Factorization
2^2 × 11
Sum of Factors
84 (40 without 44 itself)

Factor pairs of 44

Every factor has a partner that multiplies with it to give 44. Listing pairs from the outside in is the fastest way to find all the factors: once the two numbers in a pair meet in the middle, you have them all.

PairCheck
1 and 441 × 44 = 44
2 and 222 × 22 = 44
4 and 114 × 11 = 44

Prime factorization of 44, step by step

Divide by the smallest prime that goes in evenly, then repeat on the result until you reach 1. The divisors you used are the prime factors.

StepDivideResult
144 ÷ 222
222 ÷ 211
311 ÷ 111

So 44 = 2 × 2 × 11, written compactly as 2^2 × 11.

Divisibility checks for 44

The quick rules a student uses before dividing, applied to 44:

Divisible byRuleFor 44Result
2last digit is evenlast digit 4yes
3digit sum divisible by 3digits add to 8no
4last two digits divisible by 444 ÷ 4yes
5last digit is 0 or 5last digit 4no
6divisible by both 2 and 3even, digit sum 8no
8last three digits divisible by 844 ÷ 8no
9digit sum divisible by 9digits add to 8no
10last digit is 0last digit 4no

Frequently Asked Questions

What are the factors of 44?

The factors of 44 are 1, 2, 4, 11, 22, 44.

Is 44 a prime number?

No, 44 is a composite number. Its prime factorization is 2^2 × 11.

How many factors does 44 have?

44 has 6 factors. You can get that count from the prime factorization without listing them: add 1 to each exponent in 2^2 × 11 and multiply -- (2+1) × (1+1) = 6.

Is 44 even or odd?

44 is even (2 is one of its factors).

What is the sum of the factors of 44?

1 + 2 + 4 + 11 + 22 + 44 = 84. Leaving out 44 itself, the proper factors add to 40, less than 44, so 44 is a deficient number.

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