Factor Calculator

Factors of 1188

The factors of 1188 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, and 1188. In total, 1188 has 24 factors. Its prime factorization is 2² × 3³ × 11, and the sum of all its factors is 3360.

All factors of 1188

Here are all 24 factors of 1188, listed from smallest to largest.

12346911121822273336445466991081321982973965941188

Factor pairs of 1188

These 12 pairs of whole numbers each multiply to give 1188.

1 × 1188 = 1188
2 × 594 = 1188
3 × 396 = 1188
4 × 297 = 1188
6 × 198 = 1188
9 × 132 = 1188
11 × 108 = 1188
12 × 99 = 1188
18 × 66 = 1188
22 × 54 = 1188
27 × 44 = 1188
33 × 36 = 1188

Prime factorization of 1188

Dividing 1188 by the smallest prime at each step gives its prime factorization:

1188 ÷ 2 = 594
594 ÷ 2 = 297
297 ÷ 3 = 99
99 ÷ 3 = 33
33 ÷ 3 = 11
11 ÷ 11 = 1
Result: 1188 = 2 × 2 × 3 × 3 × 3 × 11 = 2² × 3³ × 11

The distinct prime factors of 1188 are 2, 3, 11. To factorize any other number, use the prime factorization calculator.

Factor tree of 1188

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

Factor tree of 1188118825942297399333311
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1188

Number of factors24
Sum of factors3360
Sum of proper factors2172
Prime factorization2² × 3³ × 11
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 1188 interesting

  • 1188 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.
  • 1188 is an abundant number: its proper factors sum to 2172, which is 984 more than 1188 itself.
  • 1188 has 3 distinct prime factors (2, 3, 11), which is why it has so many divisors.

How to find the factors of 1188 yourself

Divide 1188 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 √1188 ≈ 34.47, because every factor above that pairs with one below it.

1188 ÷ 1 = 1188 ✓
1188 ÷ 2 = 594 ✓
1188 ÷ 3 = 396 ✓
1188 ÷ 4 = 297 ✓
1188 ÷ 6 = 198 ✓
1188 ÷ 9 = 132 ✓
1188 ÷ 11 = 108 ✓
1188 ÷ 12 = 99 ✓
1188 ÷ 18 = 66 ✓
1188 ÷ 22 = 54 ✓
1188 ÷ 27 = 44 ✓
1188 ÷ 33 = 36 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1188.

Frequently asked questions about 1188

What are the factors of 1188?

The factors of 1188 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, and 1188. That is 24 factors in total, counting both 1 and 1188.

Is 1188 a prime number?

No, 1188 is not prime — it is a composite number with 24 factors. A prime number has exactly two factors, but 1188 is also divisible by 2.

What is the prime factorization of 1188?

The prime factorization of 1188 is 2² × 3³ × 11. Written out in full: 2 × 2 × 3 × 3 × 3 × 11 = 1188. Its distinct prime factors are 2, 3, 11.

What two numbers multiply to give 1188?

There are 12 pairs of whole numbers that multiply to 1188: 1 × 1188, 2 × 594, 3 × 396, 4 × 297, 6 × 198, 9 × 132, 11 × 108, 12 × 99, 18 × 66, 22 × 54, 27 × 44, 33 × 36.

What is the sum of the factors of 1188?

Adding all the factors of 1188 together gives 3360. Excluding 1188 itself, the proper factors sum to 2172.

Is 1188 a perfect square?

No, 1188 is not a perfect square. There is no whole number that multiplies by itself to give 1188. The nearest perfect squares are 1156 and 1225.

What is the largest factor of 1188 other than itself?

The largest factor of 1188 apart from 1188 itself is 594, since 1188 ÷ 594 = 2.

How many factors does 1188 have?

1188 has 24 factors: 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, and 1188. You can verify this from the prime factorization 2² × 3³ × 11: add 1 to each exponent and multiply, giving 3 × 4 × 2 = 24.

Explore more

Try another number in the factor calculator, break 1188 down further with the prime factorization calculator, or compare 1188 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.