Factor Calculator

Factors of 1140

The factors of 1140 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, and 1140. In total, 1140 has 24 factors. Its prime factorization is 2² × 3 × 5 × 19, and the sum of all its factors is 3360.

All factors of 1140

Here are all 24 factors of 1140, listed from smallest to largest.

12345610121519203038576076951141902282853805701140

Factor pairs of 1140

These 12 pairs of whole numbers each multiply to give 1140.

1 × 1140 = 1140
2 × 570 = 1140
3 × 380 = 1140
4 × 285 = 1140
5 × 228 = 1140
6 × 190 = 1140
10 × 114 = 1140
12 × 95 = 1140
15 × 76 = 1140
19 × 60 = 1140
20 × 57 = 1140
30 × 38 = 1140

Prime factorization of 1140

Dividing 1140 by the smallest prime at each step gives its prime factorization:

1140 ÷ 2 = 570
570 ÷ 2 = 285
285 ÷ 3 = 95
95 ÷ 5 = 19
19 ÷ 19 = 1
Result: 1140 = 2 × 2 × 3 × 5 × 19 = 2² × 3 × 5 × 19

The distinct prime factors of 1140 are 2, 3, 5, 19. To factorize any other number, use the prime factorization calculator.

Factor tree of 1140

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

Factor tree of 1140114025702285395519
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1140

Number of factors24
Sum of factors3360
Sum of proper factors2220
Prime factorization2² × 3 × 5 × 19
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 1140 interesting

  • 1140 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.
  • 1140 is an abundant number: its proper factors sum to 2220, which is 1080 more than 1140 itself.
  • 1140 has 4 distinct prime factors (2, 3, 5, 19), which is why it has so many divisors.

How to find the factors of 1140 yourself

Divide 1140 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 √1140 ≈ 33.76, because every factor above that pairs with one below it.

1140 ÷ 1 = 1140 ✓
1140 ÷ 2 = 570 ✓
1140 ÷ 3 = 380 ✓
1140 ÷ 4 = 285 ✓
1140 ÷ 5 = 228 ✓
1140 ÷ 6 = 190 ✓
1140 ÷ 10 = 114 ✓
1140 ÷ 12 = 95 ✓
1140 ÷ 15 = 76 ✓
1140 ÷ 19 = 60 ✓
1140 ÷ 20 = 57 ✓
1140 ÷ 30 = 38 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, 1140. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1140.

Frequently asked questions about 1140

What are the factors of 1140?

The factors of 1140 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, and 1140. That is 24 factors in total, counting both 1 and 1140.

Is 1140 a prime number?

No, 1140 is not prime — it is a composite number with 24 factors. A prime number has exactly two factors, but 1140 is also divisible by 2.

What is the prime factorization of 1140?

The prime factorization of 1140 is 2² × 3 × 5 × 19. Written out in full: 2 × 2 × 3 × 5 × 19 = 1140. Its distinct prime factors are 2, 3, 5, 19.

What two numbers multiply to give 1140?

There are 12 pairs of whole numbers that multiply to 1140: 1 × 1140, 2 × 570, 3 × 380, 4 × 285, 5 × 228, 6 × 190, 10 × 114, 12 × 95, 15 × 76, 19 × 60, 20 × 57, 30 × 38.

What is the sum of the factors of 1140?

Adding all the factors of 1140 together gives 3360. Excluding 1140 itself, the proper factors sum to 2220.

Is 1140 a perfect square?

No, 1140 is not a perfect square. There is no whole number that multiplies by itself to give 1140. The nearest perfect squares are 1089 and 1156.

What is the largest factor of 1140 other than itself?

The largest factor of 1140 apart from 1140 itself is 570, since 1140 ÷ 570 = 2.

How many factors does 1140 have?

1140 has 24 factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, and 1140. You can verify this from the prime factorization 2² × 3 × 5 × 19: add 1 to each exponent and multiply, giving 3 × 2 × 2 × 2 = 24.

Explore more

Try another number in the factor calculator, break 1140 down further with the prime factorization calculator, or compare 1140 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.