Factor Calculator

Factors of 1164

The factors of 1164 are 1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, and 1164. In total, 1164 has 12 factors. Its prime factorization is 2² × 3 × 97, and the sum of all its factors is 2744.

All factors of 1164

Here are all 12 factors of 1164, listed from smallest to largest.

1234612971942913885821164

Factor pairs of 1164

These 6 pairs of whole numbers each multiply to give 1164.

1 × 1164 = 1164
2 × 582 = 1164
3 × 388 = 1164
4 × 291 = 1164
6 × 194 = 1164
12 × 97 = 1164

Prime factorization of 1164

Dividing 1164 by the smallest prime at each step gives its prime factorization:

1164 ÷ 2 = 582
582 ÷ 2 = 291
291 ÷ 3 = 97
97 ÷ 97 = 1
Result: 1164 = 2 × 2 × 3 × 97 = 2² × 3 × 97

The distinct prime factors of 1164 are 2, 3, 97. To factorize any other number, use the prime factorization calculator.

Factor tree of 1164

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

Factor tree of 1164116425822291397
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1164

Number of factors12
Sum of factors2744
Sum of proper factors1580
Prime factorization2² × 3 × 97
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 1164 interesting

  • 1164 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.
  • 1164 is an abundant number: its proper factors sum to 1580, which is 416 more than 1164 itself.
  • 1164 has 3 distinct prime factors (2, 3, 97), which is why it has so many divisors.

How to find the factors of 1164 yourself

Divide 1164 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 √116434.12, because every factor above that pairs with one below it.

1164 ÷ 1 = 1164
1164 ÷ 2 = 582
1164 ÷ 3 = 388
1164 ÷ 4 = 291
1164 ÷ 6 = 194
1164 ÷ 12 = 97

Reading both columns gives every factor: 1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, 1164. The factor calculator does this automatically for any number.

Frequently asked questions about 1164

What are the factors of 1164?

The factors of 1164 are 1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, and 1164. That is 12 factors in total, counting both 1 and 1164.

Is 1164 a prime number?

No, 1164 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 1164 is also divisible by 2.

What is the prime factorization of 1164?

The prime factorization of 1164 is 2² × 3 × 97. Written out in full: 2 × 2 × 3 × 97 = 1164. Its distinct prime factors are 2, 3, 97.

What two numbers multiply to give 1164?

There are 6 pairs of whole numbers that multiply to 1164: 1 × 1164, 2 × 582, 3 × 388, 4 × 291, 6 × 194, 12 × 97.

What is the sum of the factors of 1164?

Adding all the factors of 1164 together gives 2744. Excluding 1164 itself, the proper factors sum to 1580.

Is 1164 a perfect square?

No, 1164 is not a perfect square. There is no whole number that multiplies by itself to give 1164. The nearest perfect squares are 1156 and 1225.

What is the largest factor of 1164 other than itself?

The largest factor of 1164 apart from 1164 itself is 582, since 1164 ÷ 582 = 2.

How many factors does 1164 have?

1164 has 12 factors: 1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, and 1164. You can verify this from the prime factorization 2² × 3 × 97: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

Explore more

Try another number in the factor calculator, break 1164 down further with the prime factorization calculator, or compare 1164 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.