Factor Calculator

Factors of 1180

The factors of 1180 are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, and 1180. In total, 1180 has 12 factors. Its prime factorization is 2² × 5 × 59, and the sum of all its factors is 2520.

All factors of 1180

Here are all 12 factors of 1180, listed from smallest to largest.

12451020591182362955901180

Factor pairs of 1180

These 6 pairs of whole numbers each multiply to give 1180.

1 × 1180 = 1180
2 × 590 = 1180
4 × 295 = 1180
5 × 236 = 1180
10 × 118 = 1180
20 × 59 = 1180

Prime factorization of 1180

Dividing 1180 by the smallest prime at each step gives its prime factorization:

1180 ÷ 2 = 590
590 ÷ 2 = 295
295 ÷ 5 = 59
59 ÷ 59 = 1
Result: 1180 = 2 × 2 × 5 × 59 = 2² × 5 × 59

The distinct prime factors of 1180 are 2, 5, 59. To factorize any other number, use the prime factorization calculator.

Factor tree of 1180

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

Factor tree of 1180118025902295559
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1180

Number of factors12
Sum of factors2520
Sum of proper factors1340
Prime factorization2² × 5 × 59
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 1180 interesting

  • 1180 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.
  • 1180 is an abundant number: its proper factors sum to 1340, which is 160 more than 1180 itself.
  • 1180 has 3 distinct prime factors (2, 5, 59), which is why it has so many divisors.

How to find the factors of 1180 yourself

Divide 1180 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 √1180 ≈ 34.35, because every factor above that pairs with one below it.

1180 ÷ 1 = 1180 ✓
1180 ÷ 2 = 590 ✓
1180 ÷ 4 = 295 ✓
1180 ÷ 5 = 236 ✓
1180 ÷ 10 = 118 ✓
1180 ÷ 20 = 59 ✓

Reading both columns gives every factor: 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1180.

Frequently asked questions about 1180

What are the factors of 1180?

The factors of 1180 are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, and 1180. That is 12 factors in total, counting both 1 and 1180.

Is 1180 a prime number?

No, 1180 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 1180 is also divisible by 2.

What is the prime factorization of 1180?

The prime factorization of 1180 is 2² × 5 × 59. Written out in full: 2 × 2 × 5 × 59 = 1180. Its distinct prime factors are 2, 5, 59.

What two numbers multiply to give 1180?

There are 6 pairs of whole numbers that multiply to 1180: 1 × 1180, 2 × 590, 4 × 295, 5 × 236, 10 × 118, 20 × 59.

What is the sum of the factors of 1180?

Adding all the factors of 1180 together gives 2520. Excluding 1180 itself, the proper factors sum to 1340.

Is 1180 a perfect square?

No, 1180 is not a perfect square. There is no whole number that multiplies by itself to give 1180. The nearest perfect squares are 1156 and 1225.

What is the largest factor of 1180 other than itself?

The largest factor of 1180 apart from 1180 itself is 590, since 1180 ÷ 590 = 2.

How many factors does 1180 have?

1180 has 12 factors: 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, and 1180. You can verify this from the prime factorization 2² × 5 × 59: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

Explore more

Try another number in the factor calculator, break 1180 down further with the prime factorization calculator, or compare 1180 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.