Factor Calculator

Factors of 270

The factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, and 270. In total, 270 has 16 factors. Its prime factorization is 2 × 3³ × 5, and the sum of all its factors is 720.

All factors of 270

Here are all 16 factors of 270, listed from smallest to largest.

1235691015182730455490135270

Factor pairs of 270

These 8 pairs of whole numbers each multiply to give 270.

1 × 270 = 270
2 × 135 = 270
3 × 90 = 270
5 × 54 = 270
6 × 45 = 270
9 × 30 = 270
10 × 27 = 270
15 × 18 = 270

Prime factorization of 270

Dividing 270 by the smallest prime at each step gives its prime factorization:

270 ÷ 2 = 135
135 ÷ 3 = 45
45 ÷ 3 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1
Result: 270 = 2 × 3 × 3 × 3 × 5 = 2 × 3³ × 5

The distinct prime factors of 270 are 2, 3, 5. To factorize any other number, use the prime factorization calculator.

Factor tree of 270

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

Factor tree of 270270213534531535
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 270

Number of factors16
Sum of factors720
Sum of proper factors450
Prime factorization2 × 3³ × 5
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 270 interesting

  • 270 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
  • 270 is an abundant number: its proper factors sum to 450, which is 180 more than 270 itself.
  • 270 has 3 distinct prime factors (2, 3, 5), which is why it has so many divisors.

How to find the factors of 270 yourself

Divide 270 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 √270 ≈ 16.43, because every factor above that pairs with one below it.

270 ÷ 1 = 270 ✓
270 ÷ 2 = 135 ✓
270 ÷ 3 = 90 ✓
270 ÷ 5 = 54 ✓
270 ÷ 6 = 45 ✓
270 ÷ 9 = 30 ✓
270 ÷ 10 = 27 ✓
270 ÷ 15 = 18 ✓

Reading both columns gives every factor: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270. The factor calculator does this automatically for any number.

Numbers mathematically connected to 270.

Frequently asked questions about 270

What are the factors of 270?

The factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, and 270. That is 16 factors in total, counting both 1 and 270.

Is 270 a prime number?

No, 270 is not prime — it is a composite number with 16 factors. A prime number has exactly two factors, but 270 is also divisible by 2.

What is the prime factorization of 270?

The prime factorization of 270 is 2 × 3³ × 5. Written out in full: 2 × 3 × 3 × 3 × 5 = 270. Its distinct prime factors are 2, 3, 5.

What two numbers multiply to give 270?

There are 8 pairs of whole numbers that multiply to 270: 1 × 270, 2 × 135, 3 × 90, 5 × 54, 6 × 45, 9 × 30, 10 × 27, 15 × 18.

What is the sum of the factors of 270?

Adding all the factors of 270 together gives 720. Excluding 270 itself, the proper factors sum to 450.

Is 270 a perfect square?

No, 270 is not a perfect square. There is no whole number that multiplies by itself to give 270. The nearest perfect squares are 256 and 289.

What is the largest factor of 270 other than itself?

The largest factor of 270 apart from 270 itself is 135, since 270 ÷ 135 = 2.

How many factors does 270 have?

270 has 16 factors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, and 270. You can verify this from the prime factorization 2 × 3³ × 5: add 1 to each exponent and multiply, giving 2 × 4 × 2 = 16.

Explore more

Try another number in the factor calculator, break 270 down further with the prime factorization calculator, or compare 270 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.