calcfluent

Factors of 560

560 has 20 factors: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280 and 560. Its prime factorization is 2⁴ × 5 × 7.

Factor pairs of 560

Factor×FactorProduct
1×560560
2×280560
4×140560
5×112560
7×80560
8×70560
10×56560
14×40560
16×35560
20×28560

Negative pairs work too: (−1) × (−560), (−2) × (−280), … = 560.

Number of factors
20
Factor pairs
10
Sum of factors
1,488
Prime or composite
Composite
Even or odd
Even
Perfect square
No
Prime factorization 2⁴ × 5 × 7

How to find the factors of 560

Test every whole number from 1 up to the square root of 560 (√560 ≈ 23.664). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

  • 560 ÷ 1 = 560 — so 1 and 560 are factors
  • 560 ÷ 2 = 280 — so 2 and 280 are factors
  • 560 ÷ 3 = 186.667 — not a whole number
  • 560 ÷ 4 = 140 — so 4 and 140 are factors
  • 560 ÷ 5 = 112 — so 5 and 112 are factors
  • 560 ÷ 6 = 93.333 — not a whole number
  • 560 ÷ 7 = 80 — so 7 and 80 are factors
  • 560 ÷ 8 = 70 — so 8 and 70 are factors
  • 560 ÷ 9 = 62.222 — not a whole number
  • 560 ÷ 10 = 56 — so 10 and 56 are factors
  • 560 ÷ 11 = 50.909 — not a whole number
  • 560 ÷ 12 = 46.667 — not a whole number
  • 560 ÷ 13 = 43.077 — not a whole number
  • 560 ÷ 14 = 40 — so 14 and 40 are factors
  • 560 ÷ 15 = 37.333 — not a whole number
  • 560 ÷ 16 = 35 — so 16 and 35 are factors
  • 560 ÷ 17 = 32.941 — not a whole number
  • 560 ÷ 18 = 31.111 — not a whole number
  • 560 ÷ 19 = 29.474 — not a whole number
  • 560 ÷ 20 = 28 — so 20 and 28 are factors
  • 560 ÷ 21 = 26.667 — not a whole number
  • 560 ÷ 22 = 25.455 — not a whole number
  • 560 ÷ 23 = 24.348 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280 and 560.

Prime factorization of 560

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

560 ÷ 2 = 280
280 ÷ 2 = 140
140 ÷ 2 = 70
70 ÷ 2 = 35
35 ÷ 5 = 7
7 ÷ 7 = 1

The primes you divided by give 560 = 2⁴ × 5 × 7. From the exponents you can also count the factors without listing them: (4 + 1) × (1 + 1) × (1 + 1) = 20.

Properties of 560

  • 560 is a composite number.
  • The sum of all its factors is 1,488; the sum of its proper factors (excluding 560) is 928, which makes it a abundant number (its proper factors add up to more than itself).
  • 560 is not a perfect square, so its factors pair up evenly.
  • Multiples of 560 include 1,120, 1,680, 2,240, 2,800 and so on.

Factors vs. multiples

Factors of 560 are the numbers that divide into it; multiples of 560 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 560?

The factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280 and 560. Each of these divides 560 with no remainder.

How many factors does 560 have?

560 has 20 positive factors, which form 10 factor pairs. Counting negative factors as well doubles that to 40.

What is the prime factorization of 560?

560 = 2⁴ × 5 × 7. Its distinct prime factors are 2, 5 and 7.

Is 560 a prime number?

No. 560 is composite because it has 20 factors, more than the two a prime number has.