Factor Calculator

Factors of 1020

The factors of 1020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, and 1020. In total, 1020 has 24 factors. Its prime factorization is 2² × 3 × 5 × 17, and the sum of all its factors is 3024.

All factors of 1020

Here are all 24 factors of 1020, listed from smallest to largest.

12345610121517203034516068851021702042553405101020

Factor pairs of 1020

These 12 pairs of whole numbers each multiply to give 1020.

1 × 1020 = 1020
2 × 510 = 1020
3 × 340 = 1020
4 × 255 = 1020
5 × 204 = 1020
6 × 170 = 1020
10 × 102 = 1020
12 × 85 = 1020
15 × 68 = 1020
17 × 60 = 1020
20 × 51 = 1020
30 × 34 = 1020

Prime factorization of 1020

Dividing 1020 by the smallest prime at each step gives its prime factorization:

1020 ÷ 2 = 510
510 ÷ 2 = 255
255 ÷ 3 = 85
85 ÷ 5 = 17
17 ÷ 17 = 1
Result: 1020 = 2 × 2 × 3 × 5 × 17 = 2² × 3 × 5 × 17

The distinct prime factors of 1020 are 2, 3, 5, 17. To factorize any other number, use the prime factorization calculator.

Factor tree of 1020

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

Factor tree of 1020102025102255385517
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1020

Number of factors24
Sum of factors3024
Sum of proper factors2004
Prime factorization2² × 3 × 5 × 17
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 1020 interesting

  • 1020 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 12 different ways.
  • 1020 is an abundant number: its proper factors sum to 2004, which is 984 more than 1020 itself.
  • 1020 has 4 distinct prime factors (2, 3, 5, 17), which is why it has so many divisors.

How to find the factors of 1020 yourself

Divide 1020 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 √1020 ≈ 31.94, because every factor above that pairs with one below it.

1020 ÷ 1 = 1020 ✓
1020 ÷ 2 = 510 ✓
1020 ÷ 3 = 340 ✓
1020 ÷ 4 = 255 ✓
1020 ÷ 5 = 204 ✓
1020 ÷ 6 = 170 ✓
1020 ÷ 10 = 102 ✓
1020 ÷ 12 = 85 ✓
1020 ÷ 15 = 68 ✓
1020 ÷ 17 = 60 ✓
1020 ÷ 20 = 51 ✓
1020 ÷ 30 = 34 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, 1020. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1020.

Frequently asked questions about 1020

What are the factors of 1020?

The factors of 1020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, and 1020. That is 24 factors in total, counting both 1 and 1020.

Is 1020 a prime number?

No, 1020 is not prime — it is a composite number with 24 factors. A prime number has exactly two factors, but 1020 is also divisible by 2.

What is the prime factorization of 1020?

The prime factorization of 1020 is 2² × 3 × 5 × 17. Written out in full: 2 × 2 × 3 × 5 × 17 = 1020. Its distinct prime factors are 2, 3, 5, 17.

What two numbers multiply to give 1020?

There are 12 pairs of whole numbers that multiply to 1020: 1 × 1020, 2 × 510, 3 × 340, 4 × 255, 5 × 204, 6 × 170, 10 × 102, 12 × 85, 15 × 68, 17 × 60, 20 × 51, 30 × 34.

What is the sum of the factors of 1020?

Adding all the factors of 1020 together gives 3024. Excluding 1020 itself, the proper factors sum to 2004.

Is 1020 a perfect square?

No, 1020 is not a perfect square. There is no whole number that multiplies by itself to give 1020. The nearest perfect squares are 961 and 1024.

What is the largest factor of 1020 other than itself?

The largest factor of 1020 apart from 1020 itself is 510, since 1020 ÷ 510 = 2.

How many factors does 1020 have?

1020 has 24 factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, and 1020. You can verify this from the prime factorization 2² × 3 × 5 × 17: add 1 to each exponent and multiply, giving 3 × 2 × 2 × 2 = 24.

Explore more

Try another number in the factor calculator, break 1020 down further with the prime factorization calculator, or compare 1020 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.