Factors of 372

How to find the factors of 372

Test every whole number from 1 up to the square root of 372 (√372 ≈ 19.287). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 372 ÷ 1 = 372 — so 1 and 372 are factors
• 372 ÷ 2 = 186 — so 2 and 186 are factors
• 372 ÷ 3 = 124 — so 3 and 124 are factors
• 372 ÷ 4 = 93 — so 4 and 93 are factors
• 372 ÷ 5 = 74.4 — not a whole number
• 372 ÷ 6 = 62 — so 6 and 62 are factors
• 372 ÷ 7 = 53.143 — not a whole number
• 372 ÷ 8 = 46.5 — not a whole number
• 372 ÷ 9 = 41.333 — not a whole number
• 372 ÷ 10 = 37.2 — not a whole number
• 372 ÷ 11 = 33.818 — not a whole number
• 372 ÷ 12 = 31 — so 12 and 31 are factors
• 372 ÷ 13 = 28.615 — not a whole number
• 372 ÷ 14 = 26.571 — not a whole number
• 372 ÷ 15 = 24.8 — not a whole number
• 372 ÷ 16 = 23.25 — not a whole number
• 372 ÷ 17 = 21.882 — not a whole number
• 372 ÷ 18 = 20.667 — not a whole number
• 372 ÷ 19 = 19.579 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186 and 372.

Prime factorization of 372

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

The primes you divided by give 372 = 2² × 3 × 31. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) × (1 + 1) = 12.

Properties of 372

• 372 is a composite number.
• The sum of all its factors is 896; the sum of its proper factors (excluding 372) is 524, which makes it a abundant number (its proper factors add up to more than itself).
• 372 is not a perfect square, so its factors pair up evenly.
• Multiples of 372 include 744, 1,116, 1,488, 1,860 and so on.

Factors vs. multiples

Factors of 372 are the numbers that divide into it; multiples of 372 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.