Factor Calculator

Factors of 486

The factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, and 486. In total, 486 has 12 factors. Its prime factorization is 2 × 3⁵, and the sum of all its factors is 1092.

All factors of 486

Here are all 12 factors of 486, listed from smallest to largest.

1236918275481162243486

Factor pairs of 486

These 6 pairs of whole numbers each multiply to give 486.

1 × 486 = 486
2 × 243 = 486
3 × 162 = 486
6 × 81 = 486
9 × 54 = 486
18 × 27 = 486

Prime factorization of 486

Dividing 486 by the smallest prime at each step gives its prime factorization:

486 ÷ 2 = 243
243 ÷ 3 = 81
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
Result: 486 = 2 × 3 × 3 × 3 × 3 × 3 = 2 × 3⁵

The distinct prime factors of 486 are 2, 3. To factorize any other number, use the prime factorization calculator.

Factor tree of 486

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

Factor tree of 48648622433813273933
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 486

Number of factors12
Sum of factors1092
Sum of proper factors606
Prime factorization2 × 3⁵
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 486 interesting

  • 486 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.
  • 486 is an abundant number: its proper factors sum to 606, which is 120 more than 486 itself.

How to find the factors of 486 yourself

Divide 486 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 √486 ≈ 22.05, because every factor above that pairs with one below it.

486 ÷ 1 = 486 ✓
486 ÷ 2 = 243 ✓
486 ÷ 3 = 162 ✓
486 ÷ 6 = 81 ✓
486 ÷ 9 = 54 ✓
486 ÷ 18 = 27 ✓

Reading both columns gives every factor: 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486. The factor calculator does this automatically for any number.

Numbers mathematically connected to 486.

Frequently asked questions about 486

What are the factors of 486?

The factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, and 486. That is 12 factors in total, counting both 1 and 486.

Is 486 a prime number?

No, 486 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 486 is also divisible by 2.

What is the prime factorization of 486?

The prime factorization of 486 is 2 × 3⁵. Written out in full: 2 × 3 × 3 × 3 × 3 × 3 = 486. Its distinct prime factors are 2, 3.

What two numbers multiply to give 486?

There are 6 pairs of whole numbers that multiply to 486: 1 × 486, 2 × 243, 3 × 162, 6 × 81, 9 × 54, 18 × 27.

What is the sum of the factors of 486?

Adding all the factors of 486 together gives 1092. Excluding 486 itself, the proper factors sum to 606.

Is 486 a perfect square?

No, 486 is not a perfect square. There is no whole number that multiplies by itself to give 486. The nearest perfect squares are 484 and 529.

What is the largest factor of 486 other than itself?

The largest factor of 486 apart from 486 itself is 243, since 486 ÷ 243 = 2.

How many factors does 486 have?

486 has 12 factors: 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, and 486. You can verify this from the prime factorization 2 × 3⁵: add 1 to each exponent and multiply, giving 2 × 6 = 12.

Explore more

Try another number in the factor calculator, break 486 down further with the prime factorization calculator, or compare 486 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.