Factor Calculator

Factors of 878

The factors of 878 are 1, 2, 439, and 878. In total, 878 has 4 factors. Its prime factorization is 2 × 439, and the sum of all its factors is 1320.

All factors of 878

Here are all 4 factors of 878, listed from smallest to largest.

12439878

Factor pairs of 878

These 2 pairs of whole numbers each multiply to give 878.

1 × 878 = 878
2 × 439 = 878

Prime factorization of 878

Dividing 878 by the smallest prime at each step gives its prime factorization:

878 ÷ 2 = 439
439 ÷ 439 = 1
Result: 878 = 2 × 439 = 2 × 439

The distinct prime factors of 878 are 2, 439. To factorize any other number, use the prime factorization calculator.

Factor tree of 878

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

Factor tree of 8788782439
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 878

Number of factors4
Sum of factors1320
Sum of proper factors442
Prime factorization2 × 439
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 878 interesting

  • 878 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.
  • 878 is a deficient number: its proper factors sum to 442, which is 436 less than 878 itself.

How to find the factors of 878 yourself

Divide 878 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 √87829.63, because every factor above that pairs with one below it.

878 ÷ 1 = 878
878 ÷ 2 = 439

Reading both columns gives every factor: 1, 2, 439, 878. The factor calculator does this automatically for any number.

Frequently asked questions about 878

What are the factors of 878?

The factors of 878 are 1, 2, 439, and 878. That is 4 factors in total, counting both 1 and 878.

Is 878 a prime number?

No, 878 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 878 is also divisible by 2.

What is the prime factorization of 878?

The prime factorization of 878 is 2 × 439. Written out in full: 2 × 439 = 878. Its distinct prime factors are 2, 439.

What two numbers multiply to give 878?

There are 2 pairs of whole numbers that multiply to 878: 1 × 878, 2 × 439.

What is the sum of the factors of 878?

Adding all the factors of 878 together gives 1320. Excluding 878 itself, the proper factors sum to 442.

Is 878 a perfect square?

No, 878 is not a perfect square. There is no whole number that multiplies by itself to give 878. The nearest perfect squares are 841 and 900.

What is the largest factor of 878 other than itself?

The largest factor of 878 apart from 878 itself is 439, since 878 ÷ 439 = 2.

How many factors does 878 have?

878 has 4 factors: 1, 2, 439, and 878. You can verify this from the prime factorization 2 × 439: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 878 down further with the prime factorization calculator, or compare 878 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.