calcfluent

Factors of 528

528 has 20 factors: 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264 and 528. Its prime factorization is 2⁴ × 3 × 11.

Factor pairs of 528

Factor×FactorProduct
1×528528
2×264528
3×176528
4×132528
6×88528
8×66528
11×48528
12×44528
16×33528
22×24528

Negative pairs work too: (−1) × (−528), (−2) × (−264), … = 528.

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 × 3 × 11

How to find the factors of 528

Test every whole number from 1 up to the square root of 528 (√528 ≈ 22.978). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

  • 528 ÷ 1 = 528 — so 1 and 528 are factors
  • 528 ÷ 2 = 264 — so 2 and 264 are factors
  • 528 ÷ 3 = 176 — so 3 and 176 are factors
  • 528 ÷ 4 = 132 — so 4 and 132 are factors
  • 528 ÷ 5 = 105.6 — not a whole number
  • 528 ÷ 6 = 88 — so 6 and 88 are factors
  • 528 ÷ 7 = 75.429 — not a whole number
  • 528 ÷ 8 = 66 — so 8 and 66 are factors
  • 528 ÷ 9 = 58.667 — not a whole number
  • 528 ÷ 10 = 52.8 — not a whole number
  • 528 ÷ 11 = 48 — so 11 and 48 are factors
  • 528 ÷ 12 = 44 — so 12 and 44 are factors
  • 528 ÷ 13 = 40.615 — not a whole number
  • 528 ÷ 14 = 37.714 — not a whole number
  • 528 ÷ 15 = 35.2 — not a whole number
  • 528 ÷ 16 = 33 — so 16 and 33 are factors
  • 528 ÷ 17 = 31.059 — not a whole number
  • 528 ÷ 18 = 29.333 — not a whole number
  • 528 ÷ 19 = 27.789 — not a whole number
  • 528 ÷ 20 = 26.4 — not a whole number
  • 528 ÷ 21 = 25.143 — not a whole number
  • 528 ÷ 22 = 24 — so 22 and 24 are factors

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264 and 528.

Prime factorization of 528

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

528 ÷ 2 = 264
264 ÷ 2 = 132
132 ÷ 2 = 66
66 ÷ 2 = 33
33 ÷ 3 = 11
11 ÷ 11 = 1

The primes you divided by give 528 = 2⁴ × 3 × 11. From the exponents you can also count the factors without listing them: (4 + 1) × (1 + 1) × (1 + 1) = 20.

Properties of 528

  • 528 is a composite number.
  • The sum of all its factors is 1,488; the sum of its proper factors (excluding 528) is 960, which makes it a abundant number (its proper factors add up to more than itself).
  • 528 is not a perfect square, so its factors pair up evenly.
  • Multiples of 528 include 1,056, 1,584, 2,112, 2,640 and so on.

Factors vs. multiples

Factors of 528 are the numbers that divide into it; multiples of 528 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 528?

The factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264 and 528. Each of these divides 528 with no remainder.

How many factors does 528 have?

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

What is the prime factorization of 528?

528 = 2⁴ × 3 × 11. Its distinct prime factors are 2, 3 and 11.

Is 528 a prime number?

No. 528 is composite because it has 20 factors, more than the two a prime number has.