Factor Calculator

Factors of 1136

The factors of 1136 are 1, 2, 4, 8, 16, 71, 142, 284, 568, and 1136. In total, 1136 has 10 factors. Its prime factorization is 2⁴ × 71, and the sum of all its factors is 2232.

All factors of 1136

Here are all 10 factors of 1136, listed from smallest to largest.

124816711422845681136

Factor pairs of 1136

These 5 pairs of whole numbers each multiply to give 1136.

1 × 1136 = 1136
2 × 568 = 1136
4 × 284 = 1136
8 × 142 = 1136
16 × 71 = 1136

Prime factorization of 1136

Dividing 1136 by the smallest prime at each step gives its prime factorization:

1136 ÷ 2 = 568
568 ÷ 2 = 284
284 ÷ 2 = 142
142 ÷ 2 = 71
71 ÷ 71 = 1
Result: 1136 = 2 × 2 × 2 × 2 × 71 = 2⁴ × 71

The distinct prime factors of 1136 are 2, 71. To factorize any other number, use the prime factorization calculator.

Factor tree of 1136

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

Factor tree of 11361136256822842142271
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1136

Number of factors10
Sum of factors2232
Sum of proper factors1096
Prime factorization2⁴ × 71
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1136 interesting

  • 1136 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 5 different ways.
  • 1136 is a deficient number: its proper factors sum to 1096, which is 40 less than 1136 itself.

How to find the factors of 1136 yourself

Divide 1136 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 √1136 ≈ 33.70, because every factor above that pairs with one below it.

1136 ÷ 1 = 1136 ✓
1136 ÷ 2 = 568 ✓
1136 ÷ 4 = 284 ✓
1136 ÷ 8 = 142 ✓
1136 ÷ 16 = 71 ✓

Reading both columns gives every factor: 1, 2, 4, 8, 16, 71, 142, 284, 568, 1136. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1136.

Frequently asked questions about 1136

What are the factors of 1136?

The factors of 1136 are 1, 2, 4, 8, 16, 71, 142, 284, 568, and 1136. That is 10 factors in total, counting both 1 and 1136.

Is 1136 a prime number?

No, 1136 is not prime — it is a composite number with 10 factors. A prime number has exactly two factors, but 1136 is also divisible by 2.

What is the prime factorization of 1136?

The prime factorization of 1136 is 2⁴ × 71. Written out in full: 2 × 2 × 2 × 2 × 71 = 1136. Its distinct prime factors are 2, 71.

What two numbers multiply to give 1136?

There are 5 pairs of whole numbers that multiply to 1136: 1 × 1136, 2 × 568, 4 × 284, 8 × 142, 16 × 71.

What is the sum of the factors of 1136?

Adding all the factors of 1136 together gives 2232. Excluding 1136 itself, the proper factors sum to 1096.

Is 1136 a perfect square?

No, 1136 is not a perfect square. There is no whole number that multiplies by itself to give 1136. The nearest perfect squares are 1089 and 1156.

What is the largest factor of 1136 other than itself?

The largest factor of 1136 apart from 1136 itself is 568, since 1136 ÷ 568 = 2.

How many factors does 1136 have?

1136 has 10 factors: 1, 2, 4, 8, 16, 71, 142, 284, 568, and 1136. You can verify this from the prime factorization 2⁴ × 71: add 1 to each exponent and multiply, giving 5 × 2 = 10.

Explore more

Try another number in the factor calculator, break 1136 down further with the prime factorization calculator, or compare 1136 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.