Factor Calculator

Factors of 564

The factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, and 564. In total, 564 has 12 factors. Its prime factorization is 2² × 3 × 47, and the sum of all its factors is 1344.

All factors of 564

Here are all 12 factors of 564, listed from smallest to largest.

12346124794141188282564

Factor pairs of 564

These 6 pairs of whole numbers each multiply to give 564.

1 × 564 = 564
2 × 282 = 564
3 × 188 = 564
4 × 141 = 564
6 × 94 = 564
12 × 47 = 564

Prime factorization of 564

Dividing 564 by the smallest prime at each step gives its prime factorization:

564 ÷ 2 = 282
282 ÷ 2 = 141
141 ÷ 3 = 47
47 ÷ 47 = 1
Result: 564 = 2 × 2 × 3 × 47 = 2² × 3 × 47

The distinct prime factors of 564 are 2, 3, 47. To factorize any other number, use the prime factorization calculator.

Factor tree of 564

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

Factor tree of 56456422822141347
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 564

Number of factors12
Sum of factors1344
Sum of proper factors780
Prime factorization2² × 3 × 47
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 564 interesting

  • 564 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
  • 564 is an abundant number: its proper factors sum to 780, which is 216 more than 564 itself.
  • 564 has 3 distinct prime factors (2, 3, 47), which is why it has so many divisors.

How to find the factors of 564 yourself

Divide 564 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 √564 ≈ 23.75, because every factor above that pairs with one below it.

564 ÷ 1 = 564 ✓
564 ÷ 2 = 282 ✓
564 ÷ 3 = 188 ✓
564 ÷ 4 = 141 ✓
564 ÷ 6 = 94 ✓
564 ÷ 12 = 47 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564. The factor calculator does this automatically for any number.

Numbers mathematically connected to 564.

Frequently asked questions about 564

What are the factors of 564?

The factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, and 564. That is 12 factors in total, counting both 1 and 564.

Is 564 a prime number?

No, 564 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 564 is also divisible by 2.

What is the prime factorization of 564?

The prime factorization of 564 is 2² × 3 × 47. Written out in full: 2 × 2 × 3 × 47 = 564. Its distinct prime factors are 2, 3, 47.

What two numbers multiply to give 564?

There are 6 pairs of whole numbers that multiply to 564: 1 × 564, 2 × 282, 3 × 188, 4 × 141, 6 × 94, 12 × 47.

What is the sum of the factors of 564?

Adding all the factors of 564 together gives 1344. Excluding 564 itself, the proper factors sum to 780.

Is 564 a perfect square?

No, 564 is not a perfect square. There is no whole number that multiplies by itself to give 564. The nearest perfect squares are 529 and 576.

What is the largest factor of 564 other than itself?

The largest factor of 564 apart from 564 itself is 282, since 564 ÷ 282 = 2.

How many factors does 564 have?

564 has 12 factors: 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, and 564. You can verify this from the prime factorization 2² × 3 × 47: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

Explore more

Try another number in the factor calculator, break 564 down further with the prime factorization calculator, or compare 564 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.