Factor Calculator

Factors of 1138

The factors of 1138 are 1, 2, 569, and 1138. In total, 1138 has 4 factors. Its prime factorization is 2 × 569, and the sum of all its factors is 1710.

All factors of 1138

Here are all 4 factors of 1138, listed from smallest to largest.

125691138

Factor pairs of 1138

These 2 pairs of whole numbers each multiply to give 1138.

1 × 1138 = 1138
2 × 569 = 1138

Prime factorization of 1138

Dividing 1138 by the smallest prime at each step gives its prime factorization:

1138 ÷ 2 = 569
569 ÷ 569 = 1
Result: 1138 = 2 × 569 = 2 × 569

The distinct prime factors of 1138 are 2, 569. To factorize any other number, use the prime factorization calculator.

Factor tree of 1138

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

Factor tree of 113811382569
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1138

Number of factors4
Sum of factors1710
Sum of proper factors572
Prime factorization2 × 569
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1138 interesting

  • 1138 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
  • 1138 is a deficient number: its proper factors sum to 572, which is 566 less than 1138 itself.

How to find the factors of 1138 yourself

Divide 1138 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 √113833.73, because every factor above that pairs with one below it.

1138 ÷ 1 = 1138
1138 ÷ 2 = 569

Reading both columns gives every factor: 1, 2, 569, 1138. The factor calculator does this automatically for any number.

Frequently asked questions about 1138

What are the factors of 1138?

The factors of 1138 are 1, 2, 569, and 1138. That is 4 factors in total, counting both 1 and 1138.

Is 1138 a prime number?

No, 1138 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 1138 is also divisible by 2.

What is the prime factorization of 1138?

The prime factorization of 1138 is 2 × 569. Written out in full: 2 × 569 = 1138. Its distinct prime factors are 2, 569.

What two numbers multiply to give 1138?

There are 2 pairs of whole numbers that multiply to 1138: 1 × 1138, 2 × 569.

What is the sum of the factors of 1138?

Adding all the factors of 1138 together gives 1710. Excluding 1138 itself, the proper factors sum to 572.

Is 1138 a perfect square?

No, 1138 is not a perfect square. There is no whole number that multiplies by itself to give 1138. The nearest perfect squares are 1089 and 1156.

What is the largest factor of 1138 other than itself?

The largest factor of 1138 apart from 1138 itself is 569, since 1138 ÷ 569 = 2.

How many factors does 1138 have?

1138 has 4 factors: 1, 2, 569, and 1138. You can verify this from the prime factorization 2 × 569: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 1138 down further with the prime factorization calculator, or compare 1138 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.