Factor Calculator

Factors of 160

The factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, and 160. In total, 160 has 12 factors. Its prime factorization is 2⁵ × 5, and the sum of all its factors is 378.

All factors of 160

Here are all 12 factors of 160, listed from smallest to largest.

12458101620324080160

Factor pairs of 160

These 6 pairs of whole numbers each multiply to give 160.

1 × 160 = 160
2 × 80 = 160
4 × 40 = 160
5 × 32 = 160
8 × 20 = 160
10 × 16 = 160

Prime factorization of 160

Dividing 160 by the smallest prime at each step gives its prime factorization:

160 ÷ 2 = 80
80 ÷ 2 = 40
40 ÷ 2 = 20
20 ÷ 2 = 10
10 ÷ 2 = 5
5 ÷ 5 = 1
Result: 160 = 2 × 2 × 2 × 2 × 2 × 5 = 2⁵ × 5

The distinct prime factors of 160 are 2, 5. To factorize any other number, use the prime factorization calculator.

Factor tree of 160

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

Factor tree of 16016028024022021025
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 160

Number of factors12
Sum of factors378
Sum of proper factors218
Prime factorization2⁵ × 5
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 160 interesting

  • 160 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.
  • 160 is an abundant number: its proper factors sum to 218, which is 58 more than 160 itself.

How to find the factors of 160 yourself

Divide 160 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 √160 ≈ 12.65, because every factor above that pairs with one below it.

160 ÷ 1 = 160 ✓
160 ÷ 2 = 80 ✓
160 ÷ 4 = 40 ✓
160 ÷ 5 = 32 ✓
160 ÷ 8 = 20 ✓
160 ÷ 10 = 16 ✓

Reading both columns gives every factor: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160. The factor calculator does this automatically for any number.

Numbers mathematically connected to 160.

Frequently asked questions about 160

What are the factors of 160?

The factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, and 160. That is 12 factors in total, counting both 1 and 160.

Is 160 a prime number?

No, 160 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 160 is also divisible by 2.

What is the prime factorization of 160?

The prime factorization of 160 is 2⁵ × 5. Written out in full: 2 × 2 × 2 × 2 × 2 × 5 = 160. Its distinct prime factors are 2, 5.

What two numbers multiply to give 160?

There are 6 pairs of whole numbers that multiply to 160: 1 × 160, 2 × 80, 4 × 40, 5 × 32, 8 × 20, 10 × 16.

What is the sum of the factors of 160?

Adding all the factors of 160 together gives 378. Excluding 160 itself, the proper factors sum to 218.

Is 160 a perfect square?

No, 160 is not a perfect square. There is no whole number that multiplies by itself to give 160. The nearest perfect squares are 144 and 169.

What is the largest factor of 160 other than itself?

The largest factor of 160 apart from 160 itself is 80, since 160 ÷ 80 = 2.

How many factors does 160 have?

160 has 12 factors: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, and 160. You can verify this from the prime factorization 2⁵ × 5: add 1 to each exponent and multiply, giving 6 × 2 = 12.

Explore more

Try another number in the factor calculator, break 160 down further with the prime factorization calculator, or compare 160 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.