Factor Calculator

Factors of 567

The factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, and 567. In total, 567 has 10 factors. Its prime factorization is 3⁴ × 7, and the sum of all its factors is 968.

All factors of 567

Here are all 10 factors of 567, listed from smallest to largest.

137921276381189567

Factor pairs of 567

These 5 pairs of whole numbers each multiply to give 567.

1 × 567 = 567
3 × 189 = 567
7 × 81 = 567
9 × 63 = 567
21 × 27 = 567

Prime factorization of 567

Dividing 567 by the smallest prime at each step gives its prime factorization:

567 ÷ 3 = 189
189 ÷ 3 = 63
63 ÷ 3 = 21
21 ÷ 3 = 7
7 ÷ 7 = 1
Result: 567 = 3 × 3 × 3 × 3 × 7 = 3⁴ × 7

The distinct prime factors of 567 are 3, 7. To factorize any other number, use the prime factorization calculator.

Factor tree of 567

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

Factor tree of 567567318936332137
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 567

Number of factors10
Sum of factors968
Sum of proper factors401
Prime factorization3⁴ × 7
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 567 interesting

  • 567 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 5 different ways.
  • 567 is a deficient number: its proper factors sum to 401, which is 166 less than 567 itself.

How to find the factors of 567 yourself

Divide 567 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 √56723.81, because every factor above that pairs with one below it.

567 ÷ 1 = 567
567 ÷ 3 = 189
567 ÷ 7 = 81
567 ÷ 9 = 63
567 ÷ 21 = 27

Reading both columns gives every factor: 1, 3, 7, 9, 21, 27, 63, 81, 189, 567. The factor calculator does this automatically for any number.

Frequently asked questions about 567

What are the factors of 567?

The factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, and 567. That is 10 factors in total, counting both 1 and 567.

Is 567 a prime number?

No, 567 is not prime — it is a composite number with 10 factors. A prime number has exactly two factors, but 567 is also divisible by 3.

What is the prime factorization of 567?

The prime factorization of 567 is 3⁴ × 7. Written out in full: 3 × 3 × 3 × 3 × 7 = 567. Its distinct prime factors are 3, 7.

What two numbers multiply to give 567?

There are 5 pairs of whole numbers that multiply to 567: 1 × 567, 3 × 189, 7 × 81, 9 × 63, 21 × 27.

What is the sum of the factors of 567?

Adding all the factors of 567 together gives 968. Excluding 567 itself, the proper factors sum to 401.

Is 567 a perfect square?

No, 567 is not a perfect square. There is no whole number that multiplies by itself to give 567. The nearest perfect squares are 529 and 576.

What is the largest factor of 567 other than itself?

The largest factor of 567 apart from 567 itself is 189, since 567 ÷ 189 = 3.

How many factors does 567 have?

567 has 10 factors: 1, 3, 7, 9, 21, 27, 63, 81, 189, and 567. You can verify this from the prime factorization 3⁴ × 7: add 1 to each exponent and multiply, giving 5 × 2 = 10.

Explore more

Try another number in the factor calculator, break 567 down further with the prime factorization calculator, or compare 567 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.