Factor Calculator

Factors of 1134

The factors of 1134 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567, and 1134. In total, 1134 has 20 factors. Its prime factorization is 2 × 3⁴ × 7, and the sum of all its factors is 2904.

All factors of 1134

Here are all 20 factors of 1134, listed from smallest to largest.

12367914182127425463811261621893785671134

Factor pairs of 1134

These 10 pairs of whole numbers each multiply to give 1134.

1 × 1134 = 1134
2 × 567 = 1134
3 × 378 = 1134
6 × 189 = 1134
7 × 162 = 1134
9 × 126 = 1134
14 × 81 = 1134
18 × 63 = 1134
21 × 54 = 1134
27 × 42 = 1134

Prime factorization of 1134

Dividing 1134 by the smallest prime at each step gives its prime factorization:

1134 ÷ 2 = 567
567 ÷ 3 = 189
189 ÷ 3 = 63
63 ÷ 3 = 21
21 ÷ 3 = 7
7 ÷ 7 = 1
Result: 1134 = 2 × 3 × 3 × 3 × 3 × 7 = 2 × 3⁴ × 7

The distinct prime factors of 1134 are 2, 3, 7. To factorize any other number, use the prime factorization calculator.

Factor tree of 1134

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

Factor tree of 113411342567318936332137
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1134

Number of factors20
Sum of factors2904
Sum of proper factors1770
Prime factorization2 × 3⁴ × 7
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 1134 interesting

  • 1134 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 10 different ways.
  • 1134 is an abundant number: its proper factors sum to 1770, which is 636 more than 1134 itself.
  • 1134 has 3 distinct prime factors (2, 3, 7), which is why it has so many divisors.

How to find the factors of 1134 yourself

Divide 1134 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 √113433.67, because every factor above that pairs with one below it.

1134 ÷ 1 = 1134
1134 ÷ 2 = 567
1134 ÷ 3 = 378
1134 ÷ 6 = 189
1134 ÷ 7 = 162
1134 ÷ 9 = 126
1134 ÷ 14 = 81
1134 ÷ 18 = 63
1134 ÷ 21 = 54
1134 ÷ 27 = 42

Reading both columns gives every factor: 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567, 1134. The factor calculator does this automatically for any number.

Frequently asked questions about 1134

What are the factors of 1134?

The factors of 1134 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567, and 1134. That is 20 factors in total, counting both 1 and 1134.

Is 1134 a prime number?

No, 1134 is not prime — it is a composite number with 20 factors. A prime number has exactly two factors, but 1134 is also divisible by 2.

What is the prime factorization of 1134?

The prime factorization of 1134 is 2 × 3⁴ × 7. Written out in full: 2 × 3 × 3 × 3 × 3 × 7 = 1134. Its distinct prime factors are 2, 3, 7.

What two numbers multiply to give 1134?

There are 10 pairs of whole numbers that multiply to 1134: 1 × 1134, 2 × 567, 3 × 378, 6 × 189, 7 × 162, 9 × 126, 14 × 81, 18 × 63, 21 × 54, 27 × 42.

What is the sum of the factors of 1134?

Adding all the factors of 1134 together gives 2904. Excluding 1134 itself, the proper factors sum to 1770.

Is 1134 a perfect square?

No, 1134 is not a perfect square. There is no whole number that multiplies by itself to give 1134. The nearest perfect squares are 1089 and 1156.

What is the largest factor of 1134 other than itself?

The largest factor of 1134 apart from 1134 itself is 567, since 1134 ÷ 567 = 2.

How many factors does 1134 have?

1134 has 20 factors: 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567, and 1134. You can verify this from the prime factorization 2 × 3⁴ × 7: add 1 to each exponent and multiply, giving 2 × 5 × 2 = 20.

Explore more

Try another number in the factor calculator, break 1134 down further with the prime factorization calculator, or compare 1134 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.