Factor Calculator

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. In total, 552 has 16 factors. Its prime factorization is 2³ × 3 × 23, and the sum of all its factors is 1440.

All factors of 552

Here are all 16 factors of 552, listed from smallest to largest.

123468122324466992138184276552

Factor pairs of 552

These 8 pairs of whole numbers each multiply to give 552.

1 × 552 = 552
2 × 276 = 552
3 × 184 = 552
4 × 138 = 552
6 × 92 = 552
8 × 69 = 552
12 × 46 = 552
23 × 24 = 552

Prime factorization of 552

Dividing 552 by the smallest prime at each step gives its prime factorization:

552 ÷ 2 = 276
276 ÷ 2 = 138
138 ÷ 2 = 69
69 ÷ 3 = 23
23 ÷ 23 = 1
Result: 552 = 2 × 2 × 2 × 3 × 23 = 2³ × 3 × 23

The distinct prime factors of 552 are 2, 3, 23. To factorize any other number, use the prime factorization calculator.

Factor tree of 552

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Factor tree of 55255222762138269323
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 552

Number of factors16
Sum of factors1440
Sum of proper factors888
Prime factorization2³ × 3 × 23
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 552 interesting

  • 552 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
  • 552 is an abundant number: its proper factors sum to 888, which is 336 more than 552 itself.
  • 552 has 3 distinct prime factors (2, 3, 23), which is why it has so many divisors.

How to find the factors of 552 yourself

Divide 552 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √55223.49, because every factor above that pairs with one below it.

552 ÷ 1 = 552
552 ÷ 2 = 276
552 ÷ 3 = 184
552 ÷ 4 = 138
552 ÷ 6 = 92
552 ÷ 8 = 69
552 ÷ 12 = 46
552 ÷ 23 = 24

Reading both columns gives every factor: 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552. The factor calculator does this automatically for any number.

Frequently asked questions about 552

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. That is 16 factors in total, counting both 1 and 552.

Is 552 a prime number?

No, 552 is not prime — it is a composite number with 16 factors. A prime number has exactly two factors, but 552 is also divisible by 2.

What is the prime factorization of 552?

The prime factorization of 552 is 2³ × 3 × 23. Written out in full: 2 × 2 × 2 × 3 × 23 = 552. Its distinct prime factors are 2, 3, 23.

What two numbers multiply to give 552?

There are 8 pairs of whole numbers that multiply to 552: 1 × 552, 2 × 276, 3 × 184, 4 × 138, 6 × 92, 8 × 69, 12 × 46, 23 × 24.

What is the sum of the factors of 552?

Adding all the factors of 552 together gives 1440. Excluding 552 itself, the proper factors sum to 888.

Is 552 a perfect square?

No, 552 is not a perfect square. There is no whole number that multiplies by itself to give 552. The nearest perfect squares are 529 and 576.

What is the largest factor of 552 other than itself?

The largest factor of 552 apart from 552 itself is 276, since 552 ÷ 276 = 2.

How many factors does 552 have?

552 has 16 factors: 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, and 552. You can verify this from the prime factorization 2³ × 3 × 23: add 1 to each exponent and multiply, giving 4 × 2 × 2 = 16.

Explore more

Try another number in the factor calculator, break 552 down further with the prime factorization calculator, or compare 552 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.