calcfluent

Factors of 624

624 has 20 factors: 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312 and 624. Its prime factorization is 2⁴ × 3 × 13.

Factor pairs of 624

Factor×FactorProduct
1×624624
2×312624
3×208624
4×156624
6×104624
8×78624
12×52624
13×48624
16×39624
24×26624

Negative pairs work too: (−1) × (−624), (−2) × (−312), … = 624.

Number of factors
20
Factor pairs
10
Sum of factors
1,736
Prime or composite
Composite
Even or odd
Even
Perfect square
No
Prime factorization 2⁴ × 3 × 13

How to find the factors of 624

Test every whole number from 1 up to the square root of 624 (√624 ≈ 24.980). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

  • 624 ÷ 1 = 624 — so 1 and 624 are factors
  • 624 ÷ 2 = 312 — so 2 and 312 are factors
  • 624 ÷ 3 = 208 — so 3 and 208 are factors
  • 624 ÷ 4 = 156 — so 4 and 156 are factors
  • 624 ÷ 5 = 124.8 — not a whole number
  • 624 ÷ 6 = 104 — so 6 and 104 are factors
  • 624 ÷ 7 = 89.143 — not a whole number
  • 624 ÷ 8 = 78 — so 8 and 78 are factors
  • 624 ÷ 9 = 69.333 — not a whole number
  • 624 ÷ 10 = 62.4 — not a whole number
  • 624 ÷ 11 = 56.727 — not a whole number
  • 624 ÷ 12 = 52 — so 12 and 52 are factors
  • 624 ÷ 13 = 48 — so 13 and 48 are factors
  • 624 ÷ 14 = 44.571 — not a whole number
  • 624 ÷ 15 = 41.6 — not a whole number
  • 624 ÷ 16 = 39 — so 16 and 39 are factors
  • 624 ÷ 17 = 36.706 — not a whole number
  • 624 ÷ 18 = 34.667 — not a whole number
  • 624 ÷ 19 = 32.842 — not a whole number
  • 624 ÷ 20 = 31.2 — not a whole number
  • 624 ÷ 21 = 29.714 — not a whole number
  • 624 ÷ 22 = 28.364 — not a whole number
  • 624 ÷ 23 = 27.13 — not a whole number
  • 624 ÷ 24 = 26 — so 24 and 26 are factors

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312 and 624.

Prime factorization of 624

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

624 ÷ 2 = 312
312 ÷ 2 = 156
156 ÷ 2 = 78
78 ÷ 2 = 39
39 ÷ 3 = 13
13 ÷ 13 = 1

The primes you divided by give 624 = 2⁴ × 3 × 13. From the exponents you can also count the factors without listing them: (4 + 1) × (1 + 1) × (1 + 1) = 20.

Properties of 624

  • 624 is a composite number.
  • The sum of all its factors is 1,736; the sum of its proper factors (excluding 624) is 1,112, which makes it a abundant number (its proper factors add up to more than itself).
  • 624 is not a perfect square, so its factors pair up evenly.
  • Multiples of 624 include 1,248, 1,872, 2,496, 3,120 and so on.

Factors vs. multiples

Factors of 624 are the numbers that divide into it; multiples of 624 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 624?

The factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312 and 624. Each of these divides 624 with no remainder.

How many factors does 624 have?

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

What is the prime factorization of 624?

624 = 2⁴ × 3 × 13. Its distinct prime factors are 2, 3 and 13.

Is 624 a prime number?

No. 624 is composite because it has 20 factors, more than the two a prime number has.