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Factors of 552

552 has 16 factors: 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276 and 552. Its prime factorization is 2³ × 3 × 23.

Factor pairs of 552

Factor×FactorProduct
1×552552
2×276552
3×184552
4×138552
6×92552
8×69552
12×46552
23×24552

Negative pairs work too: (−1) × (−552), (−2) × (−276), … = 552.

Number of factors
16
Factor pairs
8
Sum of factors
1,440
Prime or composite
Composite
Even or odd
Even
Perfect square
No
Prime factorization 2³ × 3 × 23

How to find the factors of 552

Test every whole number from 1 up to the square root of 552 (√552 ≈ 23.495). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

  • 552 ÷ 1 = 552 — so 1 and 552 are factors
  • 552 ÷ 2 = 276 — so 2 and 276 are factors
  • 552 ÷ 3 = 184 — so 3 and 184 are factors
  • 552 ÷ 4 = 138 — so 4 and 138 are factors
  • 552 ÷ 5 = 110.4 — not a whole number
  • 552 ÷ 6 = 92 — so 6 and 92 are factors
  • 552 ÷ 7 = 78.857 — not a whole number
  • 552 ÷ 8 = 69 — so 8 and 69 are factors
  • 552 ÷ 9 = 61.333 — not a whole number
  • 552 ÷ 10 = 55.2 — not a whole number
  • 552 ÷ 11 = 50.182 — not a whole number
  • 552 ÷ 12 = 46 — so 12 and 46 are factors
  • 552 ÷ 13 = 42.462 — not a whole number
  • 552 ÷ 14 = 39.429 — not a whole number
  • 552 ÷ 15 = 36.8 — not a whole number
  • 552 ÷ 16 = 34.5 — not a whole number
  • 552 ÷ 17 = 32.471 — not a whole number
  • 552 ÷ 18 = 30.667 — not a whole number
  • 552 ÷ 19 = 29.053 — not a whole number
  • 552 ÷ 20 = 27.6 — not a whole number
  • 552 ÷ 21 = 26.286 — not a whole number
  • 552 ÷ 22 = 25.091 — not a whole number
  • 552 ÷ 23 = 24 — so 23 and 24 are factors

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276 and 552.

Prime factorization of 552

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

552 ÷ 2 = 276
276 ÷ 2 = 138
138 ÷ 2 = 69
69 ÷ 3 = 23
23 ÷ 23 = 1

The primes you divided by give 552 = 2³ × 3 × 23. From the exponents you can also count the factors without listing them: (3 + 1) × (1 + 1) × (1 + 1) = 16.

Properties of 552

  • 552 is a composite number.
  • The sum of all its factors is 1,440; the sum of its proper factors (excluding 552) is 888, which makes it a abundant number (its proper factors add up to more than itself).
  • 552 is not a perfect square, so its factors pair up evenly.
  • Multiples of 552 include 1,104, 1,656, 2,208, 2,760 and so on.

Factors vs. multiples

Factors of 552 are the numbers that divide into it; multiples of 552 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 552?

The factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276 and 552. Each of these divides 552 with no remainder.

How many factors does 552 have?

552 has 16 positive factors, which form 8 factor pairs. Counting negative factors as well doubles that to 32.

What is the prime factorization of 552?

552 = 2³ × 3 × 23. Its distinct prime factors are 2, 3 and 23.

Is 552 a prime number?

No. 552 is composite because it has 16 factors, more than the two a prime number has.