Factor Calculator

Factors of 1017

The factors of 1017 are 1, 3, 9, 113, 339, and 1017. In total, 1017 has 6 factors. Its prime factorization is 3² × 113, and the sum of all its factors is 1482.

All factors of 1017

Here are all 6 factors of 1017, listed from smallest to largest.

1391133391017

Factor pairs of 1017

These 3 pairs of whole numbers each multiply to give 1017.

1 × 1017 = 1017
3 × 339 = 1017
9 × 113 = 1017

Prime factorization of 1017

Dividing 1017 by the smallest prime at each step gives its prime factorization:

1017 ÷ 3 = 339
339 ÷ 3 = 113
113 ÷ 113 = 1
Result: 1017 = 3 × 3 × 113 = 3² × 113

The distinct prime factors of 1017 are 3, 113. To factorize any other number, use the prime factorization calculator.

Factor tree of 1017

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

Factor tree of 1017101733393113
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1017

Number of factors6
Sum of factors1482
Sum of proper factors465
Prime factorization3² × 113
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1017 interesting

  • 1017 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
  • 1017 is a deficient number: its proper factors sum to 465, which is 552 less than 1017 itself.

How to find the factors of 1017 yourself

Divide 1017 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 √1017 ≈ 31.89, because every factor above that pairs with one below it.

1017 ÷ 1 = 1017 ✓
1017 ÷ 3 = 339 ✓
1017 ÷ 9 = 113 ✓

Reading both columns gives every factor: 1, 3, 9, 113, 339, 1017. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1017.

Frequently asked questions about 1017

What are the factors of 1017?

The factors of 1017 are 1, 3, 9, 113, 339, and 1017. That is 6 factors in total, counting both 1 and 1017.

Is 1017 a prime number?

No, 1017 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 1017 is also divisible by 3.

What is the prime factorization of 1017?

The prime factorization of 1017 is 3² × 113. Written out in full: 3 × 3 × 113 = 1017. Its distinct prime factors are 3, 113.

What two numbers multiply to give 1017?

There are 3 pairs of whole numbers that multiply to 1017: 1 × 1017, 3 × 339, 9 × 113.

What is the sum of the factors of 1017?

Adding all the factors of 1017 together gives 1482. Excluding 1017 itself, the proper factors sum to 465.

Is 1017 a perfect square?

No, 1017 is not a perfect square. There is no whole number that multiplies by itself to give 1017. The nearest perfect squares are 961 and 1024.

What is the largest factor of 1017 other than itself?

The largest factor of 1017 apart from 1017 itself is 339, since 1017 ÷ 339 = 3.

How many factors does 1017 have?

1017 has 6 factors: 1, 3, 9, 113, 339, and 1017. You can verify this from the prime factorization 3² × 113: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 1017 down further with the prime factorization calculator, or compare 1017 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.