Factor Calculator

Factors of 1014

The factors of 1014 are 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, and 1014. In total, 1014 has 12 factors. Its prime factorization is 2 × 3 × 13², and the sum of all its factors is 2196.

All factors of 1014

Here are all 12 factors of 1014, listed from smallest to largest.

1236132639781693385071014

Factor pairs of 1014

These 6 pairs of whole numbers each multiply to give 1014.

1 × 1014 = 1014
2 × 507 = 1014
3 × 338 = 1014
6 × 169 = 1014
13 × 78 = 1014
26 × 39 = 1014

Prime factorization of 1014

Dividing 1014 by the smallest prime at each step gives its prime factorization:

1014 ÷ 2 = 507
507 ÷ 3 = 169
169 ÷ 13 = 13
13 ÷ 13 = 1
Result: 1014 = 2 × 3 × 13 × 13 = 2 × 3 × 13²

The distinct prime factors of 1014 are 2, 3, 13. To factorize any other number, use the prime factorization calculator.

Factor tree of 1014

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

Factor tree of 10141014250731691313
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1014

Number of factors12
Sum of factors2196
Sum of proper factors1182
Prime factorization2 × 3 × 13²
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 1014 interesting

  • 1014 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.
  • 1014 is an abundant number: its proper factors sum to 1182, which is 168 more than 1014 itself.
  • 1014 has 3 distinct prime factors (2, 3, 13), which is why it has so many divisors.

How to find the factors of 1014 yourself

Divide 1014 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 √1014 ≈ 31.84, because every factor above that pairs with one below it.

1014 ÷ 1 = 1014 ✓
1014 ÷ 2 = 507 ✓
1014 ÷ 3 = 338 ✓
1014 ÷ 6 = 169 ✓
1014 ÷ 13 = 78 ✓
1014 ÷ 26 = 39 ✓

Reading both columns gives every factor: 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1014.

Frequently asked questions about 1014

What are the factors of 1014?

The factors of 1014 are 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, and 1014. That is 12 factors in total, counting both 1 and 1014.

Is 1014 a prime number?

No, 1014 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 1014 is also divisible by 2.

What is the prime factorization of 1014?

The prime factorization of 1014 is 2 × 3 × 13². Written out in full: 2 × 3 × 13 × 13 = 1014. Its distinct prime factors are 2, 3, 13.

What two numbers multiply to give 1014?

There are 6 pairs of whole numbers that multiply to 1014: 1 × 1014, 2 × 507, 3 × 338, 6 × 169, 13 × 78, 26 × 39.

What is the sum of the factors of 1014?

Adding all the factors of 1014 together gives 2196. Excluding 1014 itself, the proper factors sum to 1182.

Is 1014 a perfect square?

No, 1014 is not a perfect square. There is no whole number that multiplies by itself to give 1014. The nearest perfect squares are 961 and 1024.

What is the largest factor of 1014 other than itself?

The largest factor of 1014 apart from 1014 itself is 507, since 1014 ÷ 507 = 2.

How many factors does 1014 have?

1014 has 12 factors: 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, and 1014. You can verify this from the prime factorization 2 × 3 × 13²: add 1 to each exponent and multiply, giving 2 × 2 × 3 = 12.

Explore more

Try another number in the factor calculator, break 1014 down further with the prime factorization calculator, or compare 1014 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.