Factor Calculator

Factors of 1018

The factors of 1018 are 1, 2, 509, and 1018. In total, 1018 has 4 factors. Its prime factorization is 2 × 509, and the sum of all its factors is 1530.

All factors of 1018

Here are all 4 factors of 1018, listed from smallest to largest.

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Factor pairs of 1018

These 2 pairs of whole numbers each multiply to give 1018.

1 × 1018 = 1018
2 × 509 = 1018

Prime factorization of 1018

Dividing 1018 by the smallest prime at each step gives its prime factorization:

1018 ÷ 2 = 509
509 ÷ 509 = 1
Result: 1018 = 2 × 509 = 2 × 509

The distinct prime factors of 1018 are 2, 509. To factorize any other number, use the prime factorization calculator.

Factor tree of 1018

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

Factor tree of 101810182509
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1018

Number of factors4
Sum of factors1530
Sum of proper factors512
Prime factorization2 × 509
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1018 interesting

  • 1018 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
  • 1018 is a deficient number: its proper factors sum to 512, which is 506 less than 1018 itself.

How to find the factors of 1018 yourself

Divide 1018 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 √101831.91, because every factor above that pairs with one below it.

1018 ÷ 1 = 1018
1018 ÷ 2 = 509

Reading both columns gives every factor: 1, 2, 509, 1018. The factor calculator does this automatically for any number.

Frequently asked questions about 1018

What are the factors of 1018?

The factors of 1018 are 1, 2, 509, and 1018. That is 4 factors in total, counting both 1 and 1018.

Is 1018 a prime number?

No, 1018 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 1018 is also divisible by 2.

What is the prime factorization of 1018?

The prime factorization of 1018 is 2 × 509. Written out in full: 2 × 509 = 1018. Its distinct prime factors are 2, 509.

What two numbers multiply to give 1018?

There are 2 pairs of whole numbers that multiply to 1018: 1 × 1018, 2 × 509.

What is the sum of the factors of 1018?

Adding all the factors of 1018 together gives 1530. Excluding 1018 itself, the proper factors sum to 512.

Is 1018 a perfect square?

No, 1018 is not a perfect square. There is no whole number that multiplies by itself to give 1018. The nearest perfect squares are 961 and 1024.

What is the largest factor of 1018 other than itself?

The largest factor of 1018 apart from 1018 itself is 509, since 1018 ÷ 509 = 2.

How many factors does 1018 have?

1018 has 4 factors: 1, 2, 509, and 1018. You can verify this from the prime factorization 2 × 509: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 1018 down further with the prime factorization calculator, or compare 1018 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.