Factor Calculator

Factors of 600

The factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, and 600. In total, 600 has 24 factors. Its prime factorization is 2³ × 3 × 5², and the sum of all its factors is 1860.

All factors of 600

Here are all 24 factors of 600, listed from smallest to largest.

12345681012152024253040506075100120150200300600

Factor pairs of 600

These 12 pairs of whole numbers each multiply to give 600.

1 × 600 = 600
2 × 300 = 600
3 × 200 = 600
4 × 150 = 600
5 × 120 = 600
6 × 100 = 600
8 × 75 = 600
10 × 60 = 600
12 × 50 = 600
15 × 40 = 600
20 × 30 = 600
24 × 25 = 600

Prime factorization of 600

Dividing 600 by the smallest prime at each step gives its prime factorization:

600 ÷ 2 = 300
300 ÷ 2 = 150
150 ÷ 2 = 75
75 ÷ 3 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
Result: 600 = 2 × 2 × 2 × 3 × 5 × 5 = 2³ × 3 × 5²

The distinct prime factors of 600 are 2, 3, 5. To factorize any other number, use the prime factorization calculator.

Factor tree of 600

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

Factor tree of 6006002300215027532555
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 600

Number of factors24
Sum of factors1860
Sum of proper factors1260
Prime factorization2³ × 3 × 5²
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 600 interesting

  • 600 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 12 different ways.
  • 600 is an abundant number: its proper factors sum to 1260, which is 660 more than 600 itself.
  • 600 has 3 distinct prime factors (2, 3, 5), which is why it has so many divisors.

How to find the factors of 600 yourself

Divide 600 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 √600 ≈ 24.49, because every factor above that pairs with one below it.

600 ÷ 1 = 600 ✓
600 ÷ 2 = 300 ✓
600 ÷ 3 = 200 ✓
600 ÷ 4 = 150 ✓
600 ÷ 5 = 120 ✓
600 ÷ 6 = 100 ✓
600 ÷ 8 = 75 ✓
600 ÷ 10 = 60 ✓
600 ÷ 12 = 50 ✓
600 ÷ 15 = 40 ✓
600 ÷ 20 = 30 ✓
600 ÷ 24 = 25 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600. The factor calculator does this automatically for any number.

Numbers mathematically connected to 600.

Frequently asked questions about 600

What are the factors of 600?

The factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, and 600. That is 24 factors in total, counting both 1 and 600.

Is 600 a prime number?

No, 600 is not prime — it is a composite number with 24 factors. A prime number has exactly two factors, but 600 is also divisible by 2.

What is the prime factorization of 600?

The prime factorization of 600 is 2³ × 3 × 5². Written out in full: 2 × 2 × 2 × 3 × 5 × 5 = 600. Its distinct prime factors are 2, 3, 5.

What two numbers multiply to give 600?

There are 12 pairs of whole numbers that multiply to 600: 1 × 600, 2 × 300, 3 × 200, 4 × 150, 5 × 120, 6 × 100, 8 × 75, 10 × 60, 12 × 50, 15 × 40, 20 × 30, 24 × 25.

What is the sum of the factors of 600?

Adding all the factors of 600 together gives 1860. Excluding 600 itself, the proper factors sum to 1260.

Is 600 a perfect square?

No, 600 is not a perfect square. There is no whole number that multiplies by itself to give 600. The nearest perfect squares are 576 and 625.

What is the largest factor of 600 other than itself?

The largest factor of 600 apart from 600 itself is 300, since 600 ÷ 300 = 2.

How many factors does 600 have?

600 has 24 factors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, and 600. You can verify this from the prime factorization 2³ × 3 × 5²: add 1 to each exponent and multiply, giving 4 × 2 × 3 = 24.

Explore more

Try another number in the factor calculator, break 600 down further with the prime factorization calculator, or compare 600 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.