Factors of 22

How to find the factors of 22

Test every whole number from 1 up to the square root of 22 (√22 ≈ 4.690). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 22 ÷ 1 = 22 — so 1 and 22 are factors
• 22 ÷ 2 = 11 — so 2 and 11 are factors
• 22 ÷ 3 = 7.333 — not a whole number
• 22 ÷ 4 = 5.5 — not a whole number

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

Prime factorization of 22

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

The primes you divided by give 22 = 2 × 11. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 22

• 22 is a composite number.
• The sum of all its factors is 36; the sum of its proper factors (excluding 22) is 14, which makes it a deficient number (its proper factors add up to less than itself).
• 22 is not a perfect square, so its factors pair up evenly.
• Multiples of 22 include 44, 66, 88, 110 and so on.

Factors vs. multiples

Factors of 22 are the numbers that divide into it; multiples of 22 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.