Factor Calculator

Factors of 17

The factors of 17 are 1 and 17. Since 17 is a prime number, it has exactly 2 factors and cannot be divided evenly by any other whole number. The sum of its factors is 18, and its prime factorization is simply 17 itself.

All factors of 17

Here are all 2 factors of 17, listed from smallest to largest.

117

Factor pairs of 17

There is only one factor pair for 17, because it is prime.

1 × 17 = 17

Prime factorization of 17

17 is a prime number, so it cannot be broken down further. Its prime factorization is simply 17.

Properties of 17

Number of factors2
Sum of factors18
Sum of proper factors1
Prime factorization17
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 17 interesting

  • 17 is a prime number, so its only factors are 1 and 17. It cannot be split into a product of two smaller whole numbers.
  • Every prime number is deficient — the sum of its proper factors is always 1, which is far less than the number itself.

How to find the factors of 17 yourself

Divide 17 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 √17 ≈ 4.12, because every factor above that pairs with one below it.

17 ÷ 1 = 17 ✓

Reading both columns gives every factor: 1, 17. The factor calculator does this automatically for any number.

Numbers mathematically connected to 17.

Frequently asked questions about 17

What are the factors of 17?

The factors of 17 are 1 and 17. That is 2 factors in total, counting both 1 and 17.

Is 17 a prime number?

Yes, 17 is a prime number. It has exactly two factors: 1 and 17. No other whole number divides it evenly.

What is the prime factorization of 17?

17 is already prime, so its prime factorization is simply 17. It cannot be broken down any further.

What two numbers multiply to give 17?

There is 1 pair of whole numbers that multiply to 17: 1 × 17.

What is the sum of the factors of 17?

Adding all the factors of 17 together gives 18. Excluding 17 itself, the proper factors sum to 1.

Is 17 a perfect square?

No, 17 is not a perfect square. There is no whole number that multiplies by itself to give 17. The nearest perfect squares are 16 and 25.

What is the largest factor of 17 other than itself?

The largest factor of 17 apart from 17 itself is 1, since 17 ÷ 1 = 17.

How many factors does 17 have?

17 has 2 factors: 1 and 17.

Explore more

Try another number in the factor calculator, break 17 down further with the prime factorization calculator, or compare 17 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.