Factor Calculator

Factors of 1081

The factors of 1081 are 1, 23, 47, and 1081. In total, 1081 has 4 factors. Its prime factorization is 23 × 47, and the sum of all its factors is 1152.

All factors of 1081

Here are all 4 factors of 1081, listed from smallest to largest.

123471081

Factor pairs of 1081

These 2 pairs of whole numbers each multiply to give 1081.

1 × 1081 = 1081
23 × 47 = 1081

Prime factorization of 1081

Dividing 1081 by the smallest prime at each step gives its prime factorization:

1081 ÷ 23 = 47
47 ÷ 47 = 1
Result: 1081 = 23 × 47 = 23 × 47

The distinct prime factors of 1081 are 23, 47. To factorize any other number, use the prime factorization calculator.

Factor tree of 1081

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

Factor tree of 108110812347
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1081

Number of factors4
Sum of factors1152
Sum of proper factors71
Prime factorization23 × 47
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1081 interesting

  • 1081 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.
  • 1081 is a deficient number: its proper factors sum to 71, which is 1010 less than 1081 itself.
  • 1081 is a triangular number — it is the sum of the first 46 whole numbers (1 + 2 + … + 46 = 1081).

How to find the factors of 1081 yourself

Divide 1081 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 √108132.88, because every factor above that pairs with one below it.

1081 ÷ 1 = 1081
1081 ÷ 23 = 47

Reading both columns gives every factor: 1, 23, 47, 1081. The factor calculator does this automatically for any number.

Frequently asked questions about 1081

What are the factors of 1081?

The factors of 1081 are 1, 23, 47, and 1081. That is 4 factors in total, counting both 1 and 1081.

Is 1081 a prime number?

No, 1081 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 1081 is also divisible by 23.

What is the prime factorization of 1081?

The prime factorization of 1081 is 23 × 47. Written out in full: 23 × 47 = 1081. Its distinct prime factors are 23, 47.

What two numbers multiply to give 1081?

There are 2 pairs of whole numbers that multiply to 1081: 1 × 1081, 23 × 47.

What is the sum of the factors of 1081?

Adding all the factors of 1081 together gives 1152. Excluding 1081 itself, the proper factors sum to 71.

Is 1081 a perfect square?

No, 1081 is not a perfect square. There is no whole number that multiplies by itself to give 1081. The nearest perfect squares are 1024 and 1089.

What is the largest factor of 1081 other than itself?

The largest factor of 1081 apart from 1081 itself is 47, since 1081 ÷ 47 = 23.

How many factors does 1081 have?

1081 has 4 factors: 1, 23, 47, and 1081. You can verify this from the prime factorization 23 × 47: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 1081 down further with the prime factorization calculator, or compare 1081 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.