Factor Calculator

Factors of 1087

The factors of 1087 are 1 and 1087. Since 1087 is a prime number, it has exactly 2 factors and cannot be divided evenly by any other whole number. The sum of its factors is 1088, and its prime factorization is simply 1087 itself.

All factors of 1087

Here are all 2 factors of 1087, listed from smallest to largest.

11087

Factor pairs of 1087

There is only one factor pair for 1087, because it is prime.

1 × 1087 = 1087

Prime factorization of 1087

1087 is a prime number, so it cannot be broken down further. Its prime factorization is simply 1087.

Properties of 1087

Number of factors2
Sum of factors1088
Sum of proper factors1
Prime factorization1087
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1087 interesting

  • 1087 is a prime number, so its only factors are 1 and 1087. It cannot be split into a product of two smaller whole numbers.
  • Every prime number is deficient — the sum of its proper factors is always 1, which is far less than the number itself.

How to find the factors of 1087 yourself

Divide 1087 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 √108732.97, because every factor above that pairs with one below it.

1087 ÷ 1 = 1087

Reading both columns gives every factor: 1, 1087. The factor calculator does this automatically for any number.

Frequently asked questions about 1087

What are the factors of 1087?

The factors of 1087 are 1 and 1087. That is 2 factors in total, counting both 1 and 1087.

Is 1087 a prime number?

Yes, 1087 is a prime number. It has exactly two factors: 1 and 1087. No other whole number divides it evenly.

What is the prime factorization of 1087?

1087 is already prime, so its prime factorization is simply 1087. It cannot be broken down any further.

What two numbers multiply to give 1087?

There is 1 pair of whole numbers that multiply to 1087: 1 × 1087.

What is the sum of the factors of 1087?

Adding all the factors of 1087 together gives 1088. Excluding 1087 itself, the proper factors sum to 1.

Is 1087 a perfect square?

No, 1087 is not a perfect square. There is no whole number that multiplies by itself to give 1087. The nearest perfect squares are 1024 and 1089.

What is the largest factor of 1087 other than itself?

The largest factor of 1087 apart from 1087 itself is 1, since 1087 ÷ 1 = 1087.

How many factors does 1087 have?

1087 has 2 factors: 1 and 1087.

Explore more

Try another number in the factor calculator, break 1087 down further with the prime factorization calculator, or compare 1087 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.