Factor Calculator

Factors of 624

The factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, and 624. In total, 624 has 20 factors. Its prime factorization is 2⁴ × 3 × 13, and the sum of all its factors is 1736.

All factors of 624

Here are all 20 factors of 624, listed from smallest to largest.

123468121316242639485278104156208312624

Factor pairs of 624

These 10 pairs of whole numbers each multiply to give 624.

1 × 624 = 624
2 × 312 = 624
3 × 208 = 624
4 × 156 = 624
6 × 104 = 624
8 × 78 = 624
12 × 52 = 624
13 × 48 = 624
16 × 39 = 624
24 × 26 = 624

Prime factorization of 624

Dividing 624 by the smallest prime at each step gives its prime factorization:

624 ÷ 2 = 312
312 ÷ 2 = 156
156 ÷ 2 = 78
78 ÷ 2 = 39
39 ÷ 3 = 13
13 ÷ 13 = 1
Result: 624 = 2 × 2 × 2 × 2 × 3 × 13 = 2⁴ × 3 × 13

The distinct prime factors of 624 are 2, 3, 13. To factorize any other number, use the prime factorization calculator.

Factor tree of 624

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

Factor tree of 62462423122156278239313
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 624

Number of factors20
Sum of factors1736
Sum of proper factors1112
Prime factorization2⁴ × 3 × 13
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 624 interesting

  • 624 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 10 different ways.
  • 624 is an abundant number: its proper factors sum to 1112, which is 488 more than 624 itself.
  • 624 has 3 distinct prime factors (2, 3, 13), which is why it has so many divisors.

How to find the factors of 624 yourself

Divide 624 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 √624 ≈ 24.98, because every factor above that pairs with one below it.

624 ÷ 1 = 624 ✓
624 ÷ 2 = 312 ✓
624 ÷ 3 = 208 ✓
624 ÷ 4 = 156 ✓
624 ÷ 6 = 104 ✓
624 ÷ 8 = 78 ✓
624 ÷ 12 = 52 ✓
624 ÷ 13 = 48 ✓
624 ÷ 16 = 39 ✓
624 ÷ 24 = 26 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624. The factor calculator does this automatically for any number.

Numbers mathematically connected to 624.

Frequently asked questions about 624

What are the factors of 624?

The factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, and 624. That is 20 factors in total, counting both 1 and 624.

Is 624 a prime number?

No, 624 is not prime — it is a composite number with 20 factors. A prime number has exactly two factors, but 624 is also divisible by 2.

What is the prime factorization of 624?

The prime factorization of 624 is 2⁴ × 3 × 13. Written out in full: 2 × 2 × 2 × 2 × 3 × 13 = 624. Its distinct prime factors are 2, 3, 13.

What two numbers multiply to give 624?

There are 10 pairs of whole numbers that multiply to 624: 1 × 624, 2 × 312, 3 × 208, 4 × 156, 6 × 104, 8 × 78, 12 × 52, 13 × 48, 16 × 39, 24 × 26.

What is the sum of the factors of 624?

Adding all the factors of 624 together gives 1736. Excluding 624 itself, the proper factors sum to 1112.

Is 624 a perfect square?

No, 624 is not a perfect square. There is no whole number that multiplies by itself to give 624. The nearest perfect squares are 576 and 625.

What is the largest factor of 624 other than itself?

The largest factor of 624 apart from 624 itself is 312, since 624 ÷ 312 = 2.

How many factors does 624 have?

624 has 20 factors: 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, and 624. You can verify this from the prime factorization 2⁴ × 3 × 13: add 1 to each exponent and multiply, giving 5 × 2 × 2 = 20.

Explore more

Try another number in the factor calculator, break 624 down further with the prime factorization calculator, or compare 624 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.