Factor Calculator

Factors of 150

The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, and 150. In total, 150 has 12 factors. Its prime factorization is 2 × 3 × 5², and the sum of all its factors is 372.

All factors of 150

Here are all 12 factors of 150, listed from smallest to largest.

12356101525305075150

Factor pairs of 150

These 6 pairs of whole numbers each multiply to give 150.

1 × 150 = 150
2 × 75 = 150
3 × 50 = 150
5 × 30 = 150
6 × 25 = 150
10 × 15 = 150

Prime factorization of 150

Dividing 150 by the smallest prime at each step gives its prime factorization:

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

The distinct prime factors of 150 are 2, 3, 5. To factorize any other number, use the prime factorization calculator.

Factor tree of 150

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

Factor tree of 15015027532555
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 150

Number of factors12
Sum of factors372
Sum of proper factors222
Prime factorization2 × 3 × 5²
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 150 interesting

  • 150 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.
  • 150 is an abundant number: its proper factors sum to 222, which is 72 more than 150 itself.
  • 150 has 3 distinct prime factors (2, 3, 5), which is why it has so many divisors.

How to find the factors of 150 yourself

Divide 150 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 √150 ≈ 12.25, because every factor above that pairs with one below it.

150 ÷ 1 = 150 ✓
150 ÷ 2 = 75 ✓
150 ÷ 3 = 50 ✓
150 ÷ 5 = 30 ✓
150 ÷ 6 = 25 ✓
150 ÷ 10 = 15 ✓

Reading both columns gives every factor: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150. The factor calculator does this automatically for any number.

Numbers mathematically connected to 150.

Frequently asked questions about 150

What are the factors of 150?

The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, and 150. That is 12 factors in total, counting both 1 and 150.

Is 150 a prime number?

No, 150 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 150 is also divisible by 2.

What is the prime factorization of 150?

The prime factorization of 150 is 2 × 3 × 5². Written out in full: 2 × 3 × 5 × 5 = 150. Its distinct prime factors are 2, 3, 5.

What two numbers multiply to give 150?

There are 6 pairs of whole numbers that multiply to 150: 1 × 150, 2 × 75, 3 × 50, 5 × 30, 6 × 25, 10 × 15.

What is the sum of the factors of 150?

Adding all the factors of 150 together gives 372. Excluding 150 itself, the proper factors sum to 222.

Is 150 a perfect square?

No, 150 is not a perfect square. There is no whole number that multiplies by itself to give 150. The nearest perfect squares are 144 and 169.

What is the largest factor of 150 other than itself?

The largest factor of 150 apart from 150 itself is 75, since 150 ÷ 75 = 2.

How many factors does 150 have?

150 has 12 factors: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, and 150. You can verify this from the prime factorization 2 × 3 × 5²: add 1 to each exponent and multiply, giving 2 × 2 × 3 = 12.

Explore more

Try another number in the factor calculator, break 150 down further with the prime factorization calculator, or compare 150 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.