Factor Calculator

Factors of 30

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. In total, 30 has 8 factors. Its prime factorization is 2 × 3 × 5, and the sum of all its factors is 72.

All factors of 30

Here are all 8 factors of 30, listed from smallest to largest.

12356101530

Factor pairs of 30

These 4 pairs of whole numbers each multiply to give 30.

1 × 30 = 30
2 × 15 = 30
3 × 10 = 30
5 × 6 = 30

Prime factorization of 30

Dividing 30 by the smallest prime at each step gives its prime factorization:

30 ÷ 2 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1
Result: 30 = 2 × 3 × 5 = 2 × 3 × 5

The distinct prime factors of 30 are 2, 3, 5. To factorize any other number, use the prime factorization calculator.

Factor tree of 30

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

Factor tree of 303021535
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 30

Number of factors8
Sum of factors72
Sum of proper factors42
Prime factorization2 × 3 × 5
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 30 interesting

  • 30 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 30 is an abundant number: its proper factors sum to 42, which is 12 more than 30 itself.
  • 30 has 3 distinct prime factors (2, 3, 5), which is why it has so many divisors.

How to find the factors of 30 yourself

Divide 30 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 √30 ≈ 5.48, because every factor above that pairs with one below it.

30 ÷ 1 = 30 ✓
30 ÷ 2 = 15 ✓
30 ÷ 3 = 10 ✓
30 ÷ 5 = 6 ✓

Reading both columns gives every factor: 1, 2, 3, 5, 6, 10, 15, 30. The factor calculator does this automatically for any number.

Numbers mathematically connected to 30.

Frequently asked questions about 30

What are the factors of 30?

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. That is 8 factors in total, counting both 1 and 30.

Is 30 a prime number?

No, 30 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 30 is also divisible by 2.

What is the prime factorization of 30?

The prime factorization of 30 is 2 × 3 × 5. Written out in full: 2 × 3 × 5 = 30. Its distinct prime factors are 2, 3, 5.

What two numbers multiply to give 30?

There are 4 pairs of whole numbers that multiply to 30: 1 × 30, 2 × 15, 3 × 10, 5 × 6.

What is the sum of the factors of 30?

Adding all the factors of 30 together gives 72. Excluding 30 itself, the proper factors sum to 42.

Is 30 a perfect square?

No, 30 is not a perfect square. There is no whole number that multiplies by itself to give 30. The nearest perfect squares are 25 and 36.

What is the largest factor of 30 other than itself?

The largest factor of 30 apart from 30 itself is 15, since 30 ÷ 15 = 2.

How many factors does 30 have?

30 has 8 factors: 1, 2, 3, 5, 6, 10, 15, and 30. You can verify this from the prime factorization 2 × 3 × 5: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 30 down further with the prime factorization calculator, or compare 30 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.