Factor Calculator

Factors of 1170

The factors of 1170 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 195, 234, 390, 585, and 1170. In total, 1170 has 24 factors. Its prime factorization is 2 × 3² × 5 × 13, and the sum of all its factors is 3276.

All factors of 1170

Here are all 24 factors of 1170, listed from smallest to largest.

12356910131518263039456578901171301952343905851170

Factor pairs of 1170

These 12 pairs of whole numbers each multiply to give 1170.

1 × 1170 = 1170
2 × 585 = 1170
3 × 390 = 1170
5 × 234 = 1170
6 × 195 = 1170
9 × 130 = 1170
10 × 117 = 1170
13 × 90 = 1170
15 × 78 = 1170
18 × 65 = 1170
26 × 45 = 1170
30 × 39 = 1170

Prime factorization of 1170

Dividing 1170 by the smallest prime at each step gives its prime factorization:

1170 ÷ 2 = 585
585 ÷ 3 = 195
195 ÷ 3 = 65
65 ÷ 5 = 13
13 ÷ 13 = 1
Result: 1170 = 2 × 3 × 3 × 5 × 13 = 2 × 3² × 5 × 13

The distinct prime factors of 1170 are 2, 3, 5, 13. To factorize any other number, use the prime factorization calculator.

Factor tree of 1170

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

Factor tree of 1170117025853195365513
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1170

Number of factors24
Sum of factors3276
Sum of proper factors2106
Prime factorization2 × 3² × 5 × 13
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 1170 interesting

  • 1170 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.
  • 1170 is an abundant number: its proper factors sum to 2106, which is 936 more than 1170 itself.
  • 1170 has 4 distinct prime factors (2, 3, 5, 13), which is why it has so many divisors.

How to find the factors of 1170 yourself

Divide 1170 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 √1170 ≈ 34.21, because every factor above that pairs with one below it.

1170 ÷ 1 = 1170 ✓
1170 ÷ 2 = 585 ✓
1170 ÷ 3 = 390 ✓
1170 ÷ 5 = 234 ✓
1170 ÷ 6 = 195 ✓
1170 ÷ 9 = 130 ✓
1170 ÷ 10 = 117 ✓
1170 ÷ 13 = 90 ✓
1170 ÷ 15 = 78 ✓
1170 ÷ 18 = 65 ✓
1170 ÷ 26 = 45 ✓
1170 ÷ 30 = 39 ✓

Reading both columns gives every factor: 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 195, 234, 390, 585, 1170. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1170.

Frequently asked questions about 1170

What are the factors of 1170?

The factors of 1170 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 195, 234, 390, 585, and 1170. That is 24 factors in total, counting both 1 and 1170.

Is 1170 a prime number?

No, 1170 is not prime — it is a composite number with 24 factors. A prime number has exactly two factors, but 1170 is also divisible by 2.

What is the prime factorization of 1170?

The prime factorization of 1170 is 2 × 3² × 5 × 13. Written out in full: 2 × 3 × 3 × 5 × 13 = 1170. Its distinct prime factors are 2, 3, 5, 13.

What two numbers multiply to give 1170?

There are 12 pairs of whole numbers that multiply to 1170: 1 × 1170, 2 × 585, 3 × 390, 5 × 234, 6 × 195, 9 × 130, 10 × 117, 13 × 90, 15 × 78, 18 × 65, 26 × 45, 30 × 39.

What is the sum of the factors of 1170?

Adding all the factors of 1170 together gives 3276. Excluding 1170 itself, the proper factors sum to 2106.

Is 1170 a perfect square?

No, 1170 is not a perfect square. There is no whole number that multiplies by itself to give 1170. The nearest perfect squares are 1156 and 1225.

What is the largest factor of 1170 other than itself?

The largest factor of 1170 apart from 1170 itself is 585, since 1170 ÷ 585 = 2.

How many factors does 1170 have?

1170 has 24 factors: 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 195, 234, 390, 585, and 1170. You can verify this from the prime factorization 2 × 3² × 5 × 13: add 1 to each exponent and multiply, giving 2 × 3 × 2 × 2 = 24.

Explore more

Try another number in the factor calculator, break 1170 down further with the prime factorization calculator, or compare 1170 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.