Factors of 44

How to find the factors of 44

Test every whole number from 1 up to the square root of 44 (√44 ≈ 6.633). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 44 ÷ 1 = 44 — so 1 and 44 are factors
• 44 ÷ 2 = 22 — so 2 and 22 are factors
• 44 ÷ 3 = 14.667 — not a whole number
• 44 ÷ 4 = 11 — so 4 and 11 are factors
• 44 ÷ 5 = 8.8 — not a whole number
• 44 ÷ 6 = 7.333 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 11, 22 and 44.

Prime factorization of 44

Divide by the smallest prime that fits, and keep going until the quotient is 1:

The primes you divided by give 44 = 2² × 11. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) = 6.

Properties of 44

• 44 is a composite number.
• The sum of all its factors is 84; the sum of its proper factors (excluding 44) is 40, which makes it a deficient number (its proper factors add up to less than itself).
• 44 is not a perfect square, so its factors pair up evenly.
• Multiples of 44 include 88, 132, 176, 220 and so on.

Factors vs. multiples

Factors of 44 are the numbers that divide into it; multiples of 44 are the numbers it divides into. Every number has a limited set of factors but infinitely many multiples. To work with any other number, use the factors calculator, or find shared factors with the GCF calculator.