Factor Calculator

Factors of 170

The factors of 170 are 1, 2, 5, 10, 17, 34, 85, and 170. In total, 170 has 8 factors. Its prime factorization is 2 × 5 × 17, and the sum of all its factors is 324.

All factors of 170

Here are all 8 factors of 170, listed from smallest to largest.

12510173485170

Factor pairs of 170

These 4 pairs of whole numbers each multiply to give 170.

1 × 170 = 170
2 × 85 = 170
5 × 34 = 170
10 × 17 = 170

Prime factorization of 170

Dividing 170 by the smallest prime at each step gives its prime factorization:

170 ÷ 2 = 85
85 ÷ 5 = 17
17 ÷ 17 = 1
Result: 170 = 2 × 5 × 17 = 2 × 5 × 17

The distinct prime factors of 170 are 2, 5, 17. To factorize any other number, use the prime factorization calculator.

Factor tree of 170

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

Factor tree of 170170285517
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 170

Number of factors8
Sum of factors324
Sum of proper factors154
Prime factorization2 × 5 × 17
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 170 interesting

  • 170 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 170 is a deficient number: its proper factors sum to 154, which is 16 less than 170 itself.
  • 170 has 3 distinct prime factors (2, 5, 17), which is why it has so many divisors.

How to find the factors of 170 yourself

Divide 170 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 √17013.04, because every factor above that pairs with one below it.

170 ÷ 1 = 170
170 ÷ 2 = 85
170 ÷ 5 = 34
170 ÷ 10 = 17

Reading both columns gives every factor: 1, 2, 5, 10, 17, 34, 85, 170. The factor calculator does this automatically for any number.

Frequently asked questions about 170

What are the factors of 170?

The factors of 170 are 1, 2, 5, 10, 17, 34, 85, and 170. That is 8 factors in total, counting both 1 and 170.

Is 170 a prime number?

No, 170 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 170 is also divisible by 2.

What is the prime factorization of 170?

The prime factorization of 170 is 2 × 5 × 17. Written out in full: 2 × 5 × 17 = 170. Its distinct prime factors are 2, 5, 17.

What two numbers multiply to give 170?

There are 4 pairs of whole numbers that multiply to 170: 1 × 170, 2 × 85, 5 × 34, 10 × 17.

What is the sum of the factors of 170?

Adding all the factors of 170 together gives 324. Excluding 170 itself, the proper factors sum to 154.

Is 170 a perfect square?

No, 170 is not a perfect square. There is no whole number that multiplies by itself to give 170. The nearest perfect squares are 169 and 196.

What is the largest factor of 170 other than itself?

The largest factor of 170 apart from 170 itself is 85, since 170 ÷ 85 = 2.

How many factors does 170 have?

170 has 8 factors: 1, 2, 5, 10, 17, 34, 85, and 170. You can verify this from the prime factorization 2 × 5 × 17: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 170 down further with the prime factorization calculator, or compare 170 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.