Factor Calculator

Factors of 1131

The factors of 1131 are 1, 3, 13, 29, 39, 87, 377, and 1131. In total, 1131 has 8 factors. Its prime factorization is 3 × 13 × 29, and the sum of all its factors is 1680.

All factors of 1131

Here are all 8 factors of 1131, listed from smallest to largest.

13132939873771131

Factor pairs of 1131

These 4 pairs of whole numbers each multiply to give 1131.

1 × 1131 = 1131
3 × 377 = 1131
13 × 87 = 1131
29 × 39 = 1131

Prime factorization of 1131

Dividing 1131 by the smallest prime at each step gives its prime factorization:

1131 ÷ 3 = 377
377 ÷ 13 = 29
29 ÷ 29 = 1
Result: 1131 = 3 × 13 × 29 = 3 × 13 × 29

The distinct prime factors of 1131 are 3, 13, 29. To factorize any other number, use the prime factorization calculator.

Factor tree of 1131

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

Factor tree of 1131113133771329
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1131

Number of factors8
Sum of factors1680
Sum of proper factors549
Prime factorization3 × 13 × 29
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1131 interesting

  • 1131 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 1131 is a deficient number: its proper factors sum to 549, which is 582 less than 1131 itself.
  • 1131 has 3 distinct prime factors (3, 13, 29), which is why it has so many divisors.

How to find the factors of 1131 yourself

Divide 1131 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 √1131 ≈ 33.63, because every factor above that pairs with one below it.

1131 ÷ 1 = 1131 ✓
1131 ÷ 3 = 377 ✓
1131 ÷ 13 = 87 ✓
1131 ÷ 29 = 39 ✓

Reading both columns gives every factor: 1, 3, 13, 29, 39, 87, 377, 1131. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1131.

Frequently asked questions about 1131

What are the factors of 1131?

The factors of 1131 are 1, 3, 13, 29, 39, 87, 377, and 1131. That is 8 factors in total, counting both 1 and 1131.

Is 1131 a prime number?

No, 1131 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 1131 is also divisible by 3.

What is the prime factorization of 1131?

The prime factorization of 1131 is 3 × 13 × 29. Written out in full: 3 × 13 × 29 = 1131. Its distinct prime factors are 3, 13, 29.

What two numbers multiply to give 1131?

There are 4 pairs of whole numbers that multiply to 1131: 1 × 1131, 3 × 377, 13 × 87, 29 × 39.

What is the sum of the factors of 1131?

Adding all the factors of 1131 together gives 1680. Excluding 1131 itself, the proper factors sum to 549.

Is 1131 a perfect square?

No, 1131 is not a perfect square. There is no whole number that multiplies by itself to give 1131. The nearest perfect squares are 1089 and 1156.

What is the largest factor of 1131 other than itself?

The largest factor of 1131 apart from 1131 itself is 377, since 1131 ÷ 377 = 3.

How many factors does 1131 have?

1131 has 8 factors: 1, 3, 13, 29, 39, 87, 377, and 1131. You can verify this from the prime factorization 3 × 13 × 29: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 1131 down further with the prime factorization calculator, or compare 1131 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.