Factors of 232

How to find the factors of 232

Test every whole number from 1 up to the square root of 232 (√232 ≈ 15.232). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 232 ÷ 1 = 232 — so 1 and 232 are factors
• 232 ÷ 2 = 116 — so 2 and 116 are factors
• 232 ÷ 3 = 77.333 — not a whole number
• 232 ÷ 4 = 58 — so 4 and 58 are factors
• 232 ÷ 5 = 46.4 — not a whole number
• 232 ÷ 6 = 38.667 — not a whole number
• 232 ÷ 7 = 33.143 — not a whole number
• 232 ÷ 8 = 29 — so 8 and 29 are factors
• 232 ÷ 9 = 25.778 — not a whole number
• 232 ÷ 10 = 23.2 — not a whole number
• 232 ÷ 11 = 21.091 — not a whole number
• 232 ÷ 12 = 19.333 — not a whole number
• 232 ÷ 13 = 17.846 — not a whole number
• 232 ÷ 14 = 16.571 — not a whole number
• 232 ÷ 15 = 15.467 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 8, 29, 58, 116 and 232.

Prime factorization of 232

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

The primes you divided by give 232 = 2³ × 29. From the exponents you can also count the factors without listing them: (3 + 1) × (1 + 1) = 8.

Properties of 232

• 232 is a composite number.
• The sum of all its factors is 450; the sum of its proper factors (excluding 232) is 218, which makes it a deficient number (its proper factors add up to less than itself).
• 232 is not a perfect square, so its factors pair up evenly.
• Multiples of 232 include 464, 696, 928, 1,160 and so on.

Factors vs. multiples

Factors of 232 are the numbers that divide into it; multiples of 232 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.