Factor Calculator

Factors of 162

The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, and 162. In total, 162 has 10 factors. Its prime factorization is 2 × 3⁴, and the sum of all its factors is 363.

All factors of 162

Here are all 10 factors of 162, listed from smallest to largest.

1236918275481162

Factor pairs of 162

These 5 pairs of whole numbers each multiply to give 162.

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

Prime factorization of 162

Dividing 162 by the smallest prime at each step gives its prime factorization:

162 ÷ 2 = 81
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
Result: 162 = 2 × 3 × 3 × 3 × 3 = 2 × 3⁴

The distinct prime factors of 162 are 2, 3. To factorize any other number, use the prime factorization calculator.

Factor tree of 162

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

Factor tree of 1621622813273933
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 162

Number of factors10
Sum of factors363
Sum of proper factors201
Prime factorization2 × 3⁴
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 162 interesting

  • 162 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 5 different ways.
  • 162 is an abundant number: its proper factors sum to 201, which is 39 more than 162 itself.

How to find the factors of 162 yourself

Divide 162 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 √162 ≈ 12.73, because every factor above that pairs with one below it.

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

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

Numbers mathematically connected to 162.

Frequently asked questions about 162

What are the factors of 162?

The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, and 162. That is 10 factors in total, counting both 1 and 162.

Is 162 a prime number?

No, 162 is not prime — it is a composite number with 10 factors. A prime number has exactly two factors, but 162 is also divisible by 2.

What is the prime factorization of 162?

The prime factorization of 162 is 2 × 3⁴. Written out in full: 2 × 3 × 3 × 3 × 3 = 162. Its distinct prime factors are 2, 3.

What two numbers multiply to give 162?

There are 5 pairs of whole numbers that multiply to 162: 1 × 162, 2 × 81, 3 × 54, 6 × 27, 9 × 18.

What is the sum of the factors of 162?

Adding all the factors of 162 together gives 363. Excluding 162 itself, the proper factors sum to 201.

Is 162 a perfect square?

No, 162 is not a perfect square. There is no whole number that multiplies by itself to give 162. The nearest perfect squares are 144 and 169.

What is the largest factor of 162 other than itself?

The largest factor of 162 apart from 162 itself is 81, since 162 ÷ 81 = 2.

How many factors does 162 have?

162 has 10 factors: 1, 2, 3, 6, 9, 18, 27, 54, 81, and 162. You can verify this from the prime factorization 2 × 3⁴: add 1 to each exponent and multiply, giving 2 × 5 = 10.

Explore more

Try another number in the factor calculator, break 162 down further with the prime factorization calculator, or compare 162 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.