Factors of 132

How to find the factors of 132

Test every whole number from 1 up to the square root of 132 (√132 ≈ 11.489). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 132 ÷ 1 = 132 — so 1 and 132 are factors
• 132 ÷ 2 = 66 — so 2 and 66 are factors
• 132 ÷ 3 = 44 — so 3 and 44 are factors
• 132 ÷ 4 = 33 — so 4 and 33 are factors
• 132 ÷ 5 = 26.4 — not a whole number
• 132 ÷ 6 = 22 — so 6 and 22 are factors
• 132 ÷ 7 = 18.857 — not a whole number
• 132 ÷ 8 = 16.5 — not a whole number
• 132 ÷ 9 = 14.667 — not a whole number
• 132 ÷ 10 = 13.2 — not a whole number
• 132 ÷ 11 = 12 — so 11 and 12 are factors

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66 and 132.

Prime factorization of 132

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

The primes you divided by give 132 = 2² × 3 × 11. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) × (1 + 1) = 12.

Properties of 132

• 132 is a composite number.
• The sum of all its factors is 336; the sum of its proper factors (excluding 132) is 204, which makes it a abundant number (its proper factors add up to more than itself).
• 132 is not a perfect square, so its factors pair up evenly.
• Multiples of 132 include 264, 396, 528, 660 and so on.

Factors vs. multiples

Factors of 132 are the numbers that divide into it; multiples of 132 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.