Factors of 988

How to find the factors of 988

Test every whole number from 1 up to the square root of 988 (√988 ≈ 31.432). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 988 ÷ 1 = 988 — so 1 and 988 are factors
• 988 ÷ 2 = 494 — so 2 and 494 are factors
• 988 ÷ 3 = 329.333 — not a whole number
• 988 ÷ 4 = 247 — so 4 and 247 are factors
• 988 ÷ 5 = 197.6 — not a whole number
• 988 ÷ 6 = 164.667 — not a whole number
• 988 ÷ 7 = 141.143 — not a whole number
• 988 ÷ 8 = 123.5 — not a whole number
• 988 ÷ 9 = 109.778 — not a whole number
• 988 ÷ 10 = 98.8 — not a whole number
• 988 ÷ 11 = 89.818 — not a whole number
• 988 ÷ 12 = 82.333 — not a whole number
• 988 ÷ 13 = 76 — so 13 and 76 are factors
• 988 ÷ 14 = 70.571 — not a whole number
• 988 ÷ 15 = 65.867 — not a whole number
• 988 ÷ 16 = 61.75 — not a whole number
• 988 ÷ 17 = 58.118 — not a whole number
• 988 ÷ 18 = 54.889 — not a whole number
• 988 ÷ 19 = 52 — so 19 and 52 are factors
• 988 ÷ 20 = 49.4 — not a whole number
• 988 ÷ 21 = 47.048 — not a whole number
• 988 ÷ 22 = 44.909 — not a whole number
• 988 ÷ 23 = 42.957 — not a whole number
• 988 ÷ 24 = 41.167 — not a whole number
• 988 ÷ 25 = 39.52 — not a whole number
• 988 ÷ 26 = 38 — so 26 and 38 are factors
• 988 ÷ 27 = 36.593 — not a whole number
• 988 ÷ 28 = 35.286 — not a whole number
• 988 ÷ 29 = 34.069 — not a whole number
• 988 ÷ 30 = 32.933 — not a whole number
• 988 ÷ 31 = 31.871 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494 and 988.

Prime factorization of 988

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

The primes you divided by give 988 = 2² × 13 × 19. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) × (1 + 1) = 12.

Properties of 988

• 988 is a composite number.
• The sum of all its factors is 1,960; the sum of its proper factors (excluding 988) is 972, which makes it a deficient number (its proper factors add up to less than itself).
• 988 is not a perfect square, so its factors pair up evenly.
• Multiples of 988 include 1,976, 2,964, 3,952, 4,940 and so on.

Factors vs. multiples

Factors of 988 are the numbers that divide into it; multiples of 988 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.