Factor Calculator

Factors of 544

The factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, and 544. In total, 544 has 12 factors. Its prime factorization is 2⁵ × 17, and the sum of all its factors is 1134.

All factors of 544

Here are all 12 factors of 544, listed from smallest to largest.

12481617323468136272544

Factor pairs of 544

These 6 pairs of whole numbers each multiply to give 544.

1 × 544 = 544
2 × 272 = 544
4 × 136 = 544
8 × 68 = 544
16 × 34 = 544
17 × 32 = 544

Prime factorization of 544

Dividing 544 by the smallest prime at each step gives its prime factorization:

544 ÷ 2 = 272
272 ÷ 2 = 136
136 ÷ 2 = 68
68 ÷ 2 = 34
34 ÷ 2 = 17
17 ÷ 17 = 1
Result: 544 = 2 × 2 × 2 × 2 × 2 × 17 = 2⁵ × 17

The distinct prime factors of 544 are 2, 17. To factorize any other number, use the prime factorization calculator.

Factor tree of 544

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

Factor tree of 54454422722136268234217
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 544

Number of factors12
Sum of factors1134
Sum of proper factors590
Prime factorization2⁵ × 17
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 544 interesting

  • 544 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.
  • 544 is an abundant number: its proper factors sum to 590, which is 46 more than 544 itself.

How to find the factors of 544 yourself

Divide 544 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 √544 ≈ 23.32, because every factor above that pairs with one below it.

544 ÷ 1 = 544 ✓
544 ÷ 2 = 272 ✓
544 ÷ 4 = 136 ✓
544 ÷ 8 = 68 ✓
544 ÷ 16 = 34 ✓
544 ÷ 17 = 32 ✓

Reading both columns gives every factor: 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544. The factor calculator does this automatically for any number.

Numbers mathematically connected to 544.

Frequently asked questions about 544

What are the factors of 544?

The factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, and 544. That is 12 factors in total, counting both 1 and 544.

Is 544 a prime number?

No, 544 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 544 is also divisible by 2.

What is the prime factorization of 544?

The prime factorization of 544 is 2⁵ × 17. Written out in full: 2 × 2 × 2 × 2 × 2 × 17 = 544. Its distinct prime factors are 2, 17.

What two numbers multiply to give 544?

There are 6 pairs of whole numbers that multiply to 544: 1 × 544, 2 × 272, 4 × 136, 8 × 68, 16 × 34, 17 × 32.

What is the sum of the factors of 544?

Adding all the factors of 544 together gives 1134. Excluding 544 itself, the proper factors sum to 590.

Is 544 a perfect square?

No, 544 is not a perfect square. There is no whole number that multiplies by itself to give 544. The nearest perfect squares are 529 and 576.

What is the largest factor of 544 other than itself?

The largest factor of 544 apart from 544 itself is 272, since 544 ÷ 272 = 2.

How many factors does 544 have?

544 has 12 factors: 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, and 544. You can verify this from the prime factorization 2⁵ × 17: add 1 to each exponent and multiply, giving 6 × 2 = 12.

Explore more

Try another number in the factor calculator, break 544 down further with the prime factorization calculator, or compare 544 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.