Factors of 948

How to find the factors of 948

Test every whole number from 1 up to the square root of 948 (√948 ≈ 30.790). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 948 ÷ 1 = 948 — so 1 and 948 are factors
• 948 ÷ 2 = 474 — so 2 and 474 are factors
• 948 ÷ 3 = 316 — so 3 and 316 are factors
• 948 ÷ 4 = 237 — so 4 and 237 are factors
• 948 ÷ 5 = 189.6 — not a whole number
• 948 ÷ 6 = 158 — so 6 and 158 are factors
• 948 ÷ 7 = 135.429 — not a whole number
• 948 ÷ 8 = 118.5 — not a whole number
• 948 ÷ 9 = 105.333 — not a whole number
• 948 ÷ 10 = 94.8 — not a whole number
• 948 ÷ 11 = 86.182 — not a whole number
• 948 ÷ 12 = 79 — so 12 and 79 are factors
• 948 ÷ 13 = 72.923 — not a whole number
• 948 ÷ 14 = 67.714 — not a whole number
• 948 ÷ 15 = 63.2 — not a whole number
• 948 ÷ 16 = 59.25 — not a whole number
• 948 ÷ 17 = 55.765 — not a whole number
• 948 ÷ 18 = 52.667 — not a whole number
• 948 ÷ 19 = 49.895 — not a whole number
• 948 ÷ 20 = 47.4 — not a whole number
• 948 ÷ 21 = 45.143 — not a whole number
• 948 ÷ 22 = 43.091 — not a whole number
• 948 ÷ 23 = 41.217 — not a whole number
• 948 ÷ 24 = 39.5 — not a whole number
• 948 ÷ 25 = 37.92 — not a whole number
• 948 ÷ 26 = 36.462 — not a whole number
• 948 ÷ 27 = 35.111 — not a whole number
• 948 ÷ 28 = 33.857 — not a whole number
• 948 ÷ 29 = 32.69 — not a whole number
• 948 ÷ 30 = 31.6 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474 and 948.

Prime factorization of 948

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

The primes you divided by give 948 = 2² × 3 × 79. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) × (1 + 1) = 12.

Properties of 948

• 948 is a composite number.
• The sum of all its factors is 2,240; the sum of its proper factors (excluding 948) is 1,292, which makes it a abundant number (its proper factors add up to more than itself).
• 948 is not a perfect square, so its factors pair up evenly.
• Multiples of 948 include 1,896, 2,844, 3,792, 4,740 and so on.

Factors vs. multiples

Factors of 948 are the numbers that divide into it; multiples of 948 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.