How to find the factors of 977
Test every whole number from 1 up to the square root of 977 (√977 ≈ 31.257). Each number that divides evenly gives you two factors at once: the divisor and the quotient.
- 977 ÷ 1 = 977 — so 1 and 977 are factors
- 977 ÷ 2 = 488.5 — not a whole number
- 977 ÷ 3 = 325.667 — not a whole number
- 977 ÷ 4 = 244.25 — not a whole number
- 977 ÷ 5 = 195.4 — not a whole number
- 977 ÷ 6 = 162.833 — not a whole number
- 977 ÷ 7 = 139.571 — not a whole number
- 977 ÷ 8 = 122.125 — not a whole number
- 977 ÷ 9 = 108.556 — not a whole number
- 977 ÷ 10 = 97.7 — not a whole number
- 977 ÷ 11 = 88.818 — not a whole number
- 977 ÷ 12 = 81.417 — not a whole number
- 977 ÷ 13 = 75.154 — not a whole number
- 977 ÷ 14 = 69.786 — not a whole number
- 977 ÷ 15 = 65.133 — not a whole number
- 977 ÷ 16 = 61.063 — not a whole number
- 977 ÷ 17 = 57.471 — not a whole number
- 977 ÷ 18 = 54.278 — not a whole number
- 977 ÷ 19 = 51.421 — not a whole number
- 977 ÷ 20 = 48.85 — not a whole number
- 977 ÷ 21 = 46.524 — not a whole number
- 977 ÷ 22 = 44.409 — not a whole number
- 977 ÷ 23 = 42.478 — not a whole number
- 977 ÷ 24 = 40.708 — not a whole number
- 977 ÷ 25 = 39.08 — not a whole number
- 977 ÷ 26 = 37.577 — not a whole number
- 977 ÷ 27 = 36.185 — not a whole number
- 977 ÷ 28 = 34.893 — not a whole number
- 977 ÷ 29 = 33.69 — not a whole number
- 977 ÷ 30 = 32.567 — not a whole number
- 977 ÷ 31 = 31.516 — not a whole number
Collecting both numbers from every successful division gives the complete list: 1 and 977.
Prime factorization of 977
977 is a prime number, so it cannot be broken down any further. Its prime factorization is simply 977.
Properties of 977
- 977 is a prime number.
- The sum of all its factors is 978; the sum of its proper factors (excluding 977) is 1, which makes it a deficient number (its proper factors add up to less than itself).
- 977 is not a perfect square, so its factors pair up evenly.
- Multiples of 977 include 1,954, 2,931, 3,908, 4,885 and so on.
Factors vs. multiples
Factors of 977 are the numbers that divide into it; multiples of 977 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.
Frequently asked questions
What are the factors of 977?
The factors of 977 are 1 and 977. Each of these divides 977 with no remainder.
How many factors does 977 have?
977 has 2 positive factors, which form 1 factor pair. Counting negative factors as well doubles that to 4.
What is the prime factorization of 977?
977 = 977. 977 is prime, so it is its own prime factorization.
Is 977 a prime number?
Yes. 977 is prime because its only factors are 1 and 977.