Factors of 976

How to find the factors of 976

Test every whole number from 1 up to the square root of 976 (√976 ≈ 31.241). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 976 ÷ 1 = 976 — so 1 and 976 are factors
• 976 ÷ 2 = 488 — so 2 and 488 are factors
• 976 ÷ 3 = 325.333 — not a whole number
• 976 ÷ 4 = 244 — so 4 and 244 are factors
• 976 ÷ 5 = 195.2 — not a whole number
• 976 ÷ 6 = 162.667 — not a whole number
• 976 ÷ 7 = 139.429 — not a whole number
• 976 ÷ 8 = 122 — so 8 and 122 are factors
• 976 ÷ 9 = 108.444 — not a whole number
• 976 ÷ 10 = 97.6 — not a whole number
• 976 ÷ 11 = 88.727 — not a whole number
• 976 ÷ 12 = 81.333 — not a whole number
• 976 ÷ 13 = 75.077 — not a whole number
• 976 ÷ 14 = 69.714 — not a whole number
• 976 ÷ 15 = 65.067 — not a whole number
• 976 ÷ 16 = 61 — so 16 and 61 are factors
• 976 ÷ 17 = 57.412 — not a whole number
• 976 ÷ 18 = 54.222 — not a whole number
• 976 ÷ 19 = 51.368 — not a whole number
• 976 ÷ 20 = 48.8 — not a whole number
• 976 ÷ 21 = 46.476 — not a whole number
• 976 ÷ 22 = 44.364 — not a whole number
• 976 ÷ 23 = 42.435 — not a whole number
• 976 ÷ 24 = 40.667 — not a whole number
• 976 ÷ 25 = 39.04 — not a whole number
• 976 ÷ 26 = 37.538 — not a whole number
• 976 ÷ 27 = 36.148 — not a whole number
• 976 ÷ 28 = 34.857 — not a whole number
• 976 ÷ 29 = 33.655 — not a whole number
• 976 ÷ 30 = 32.533 — not a whole number
• 976 ÷ 31 = 31.484 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 8, 16, 61, 122, 244, 488 and 976.

Prime factorization of 976

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

The primes you divided by give 976 = 2⁴ × 61. From the exponents you can also count the factors without listing them: (4 + 1) × (1 + 1) = 10.

Properties of 976

• 976 is a composite number.
• The sum of all its factors is 1,922; the sum of its proper factors (excluding 976) is 946, which makes it a deficient number (its proper factors add up to less than itself).
• 976 is not a perfect square, so its factors pair up evenly.
• Multiples of 976 include 1,952, 2,928, 3,904, 4,880 and so on.

Factors vs. multiples

Factors of 976 are the numbers that divide into it; multiples of 976 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.