Factor Calculator

Factors of 880

The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, and 880. In total, 880 has 20 factors. Its prime factorization is 2⁴ × 5 × 11, and the sum of all its factors is 2232.

All factors of 880

Here are all 20 factors of 880, listed from smallest to largest.

1245810111620224044558088110176220440880

Factor pairs of 880

These 10 pairs of whole numbers each multiply to give 880.

1 × 880 = 880
2 × 440 = 880
4 × 220 = 880
5 × 176 = 880
8 × 110 = 880
10 × 88 = 880
11 × 80 = 880
16 × 55 = 880
20 × 44 = 880
22 × 40 = 880

Prime factorization of 880

Dividing 880 by the smallest prime at each step gives its prime factorization:

880 ÷ 2 = 440
440 ÷ 2 = 220
220 ÷ 2 = 110
110 ÷ 2 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1
Result: 880 = 2 × 2 × 2 × 2 × 5 × 11 = 2⁴ × 5 × 11

The distinct prime factors of 880 are 2, 5, 11. To factorize any other number, use the prime factorization calculator.

Factor tree of 880

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

Factor tree of 880880244022202110255511
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 880

Number of factors20
Sum of factors2232
Sum of proper factors1352
Prime factorization2⁴ × 5 × 11
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 880 interesting

  • 880 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 10 different ways.
  • 880 is an abundant number: its proper factors sum to 1352, which is 472 more than 880 itself.
  • 880 has 3 distinct prime factors (2, 5, 11), which is why it has so many divisors.

How to find the factors of 880 yourself

Divide 880 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 √880 ≈ 29.66, because every factor above that pairs with one below it.

880 ÷ 1 = 880 ✓
880 ÷ 2 = 440 ✓
880 ÷ 4 = 220 ✓
880 ÷ 5 = 176 ✓
880 ÷ 8 = 110 ✓
880 ÷ 10 = 88 ✓
880 ÷ 11 = 80 ✓
880 ÷ 16 = 55 ✓
880 ÷ 20 = 44 ✓
880 ÷ 22 = 40 ✓

Reading both columns gives every factor: 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880. The factor calculator does this automatically for any number.

Numbers mathematically connected to 880.

Frequently asked questions about 880

What are the factors of 880?

The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, and 880. That is 20 factors in total, counting both 1 and 880.

Is 880 a prime number?

No, 880 is not prime — it is a composite number with 20 factors. A prime number has exactly two factors, but 880 is also divisible by 2.

What is the prime factorization of 880?

The prime factorization of 880 is 2⁴ × 5 × 11. Written out in full: 2 × 2 × 2 × 2 × 5 × 11 = 880. Its distinct prime factors are 2, 5, 11.

What two numbers multiply to give 880?

There are 10 pairs of whole numbers that multiply to 880: 1 × 880, 2 × 440, 4 × 220, 5 × 176, 8 × 110, 10 × 88, 11 × 80, 16 × 55, 20 × 44, 22 × 40.

What is the sum of the factors of 880?

Adding all the factors of 880 together gives 2232. Excluding 880 itself, the proper factors sum to 1352.

Is 880 a perfect square?

No, 880 is not a perfect square. There is no whole number that multiplies by itself to give 880. The nearest perfect squares are 841 and 900.

What is the largest factor of 880 other than itself?

The largest factor of 880 apart from 880 itself is 440, since 880 ÷ 440 = 2.

How many factors does 880 have?

880 has 20 factors: 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, and 880. You can verify this from the prime factorization 2⁴ × 5 × 11: add 1 to each exponent and multiply, giving 5 × 2 × 2 = 20.

Explore more

Try another number in the factor calculator, break 880 down further with the prime factorization calculator, or compare 880 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.