Factors of 987

How to find the factors of 987

Test every whole number from 1 up to the square root of 987 (√987 ≈ 31.417). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 987 ÷ 1 = 987 — so 1 and 987 are factors
• 987 ÷ 2 = 493.5 — not a whole number
• 987 ÷ 3 = 329 — so 3 and 329 are factors
• 987 ÷ 4 = 246.75 — not a whole number
• 987 ÷ 5 = 197.4 — not a whole number
• 987 ÷ 6 = 164.5 — not a whole number
• 987 ÷ 7 = 141 — so 7 and 141 are factors
• 987 ÷ 8 = 123.375 — not a whole number
• 987 ÷ 9 = 109.667 — not a whole number
• 987 ÷ 10 = 98.7 — not a whole number
• 987 ÷ 11 = 89.727 — not a whole number
• 987 ÷ 12 = 82.25 — not a whole number
• 987 ÷ 13 = 75.923 — not a whole number
• 987 ÷ 14 = 70.5 — not a whole number
• 987 ÷ 15 = 65.8 — not a whole number
• 987 ÷ 16 = 61.688 — not a whole number
• 987 ÷ 17 = 58.059 — not a whole number
• 987 ÷ 18 = 54.833 — not a whole number
• 987 ÷ 19 = 51.947 — not a whole number
• 987 ÷ 20 = 49.35 — not a whole number
• 987 ÷ 21 = 47 — so 21 and 47 are factors
• 987 ÷ 22 = 44.864 — not a whole number
• 987 ÷ 23 = 42.913 — not a whole number
• 987 ÷ 24 = 41.125 — not a whole number
• 987 ÷ 25 = 39.48 — not a whole number
• 987 ÷ 26 = 37.962 — not a whole number
• 987 ÷ 27 = 36.556 — not a whole number
• 987 ÷ 28 = 35.25 — not a whole number
• 987 ÷ 29 = 34.034 — not a whole number
• 987 ÷ 30 = 32.9 — not a whole number
• 987 ÷ 31 = 31.839 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 3, 7, 21, 47, 141, 329 and 987.

Prime factorization of 987

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

The primes you divided by give 987 = 3 × 7 × 47. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (1 + 1) = 8.

Properties of 987

• 987 is a composite number.
• The sum of all its factors is 1,536; the sum of its proper factors (excluding 987) is 549, which makes it a deficient number (its proper factors add up to less than itself).
• 987 is not a perfect square, so its factors pair up evenly.
• Multiples of 987 include 1,974, 2,961, 3,948, 4,935 and so on.

Factors vs. multiples

Factors of 987 are the numbers that divide into it; multiples of 987 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.