Factor Calculator

Factors of 877

The factors of 877 are 1 and 877. Since 877 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 878, and its prime factorization is simply 877 itself.

All factors of 877

Here are all 2 factors of 877, listed from smallest to largest.

1877

Factor pairs of 877

There is only one factor pair for 877, because it is prime.

1 × 877 = 877

Prime factorization of 877

877 is a prime number, so it cannot be broken down further. Its prime factorization is simply 877.

Properties of 877

Number of factors2
Sum of factors878
Sum of proper factors1
Prime factorization877
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 877 interesting

  • 877 is a prime number, so its only factors are 1 and 877. 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 877 yourself

Divide 877 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 √87729.61, because every factor above that pairs with one below it.

877 ÷ 1 = 877

Reading both columns gives every factor: 1, 877. The factor calculator does this automatically for any number.

Frequently asked questions about 877

What are the factors of 877?

The factors of 877 are 1 and 877. That is 2 factors in total, counting both 1 and 877.

Is 877 a prime number?

Yes, 877 is a prime number. It has exactly two factors: 1 and 877. No other whole number divides it evenly.

What is the prime factorization of 877?

877 is already prime, so its prime factorization is simply 877. It cannot be broken down any further.

What two numbers multiply to give 877?

There is 1 pair of whole numbers that multiply to 877: 1 × 877.

What is the sum of the factors of 877?

Adding all the factors of 877 together gives 878. Excluding 877 itself, the proper factors sum to 1.

Is 877 a perfect square?

No, 877 is not a perfect square. There is no whole number that multiplies by itself to give 877. The nearest perfect squares are 841 and 900.

What is the largest factor of 877 other than itself?

The largest factor of 877 apart from 877 itself is 1, since 877 ÷ 1 = 877.

How many factors does 877 have?

877 has 2 factors: 1 and 877.

Explore more

Try another number in the factor calculator, break 877 down further with the prime factorization calculator, or compare 877 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.