Factor Calculator

Factors of 888

The factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, and 888. In total, 888 has 16 factors. Its prime factorization is 2³ × 3 × 37, and the sum of all its factors is 2280.

All factors of 888

Here are all 16 factors of 888, listed from smallest to largest.

12346812243774111148222296444888

Factor pairs of 888

These 8 pairs of whole numbers each multiply to give 888.

1 × 888 = 888
2 × 444 = 888
3 × 296 = 888
4 × 222 = 888
6 × 148 = 888
8 × 111 = 888
12 × 74 = 888
24 × 37 = 888

Prime factorization of 888

Dividing 888 by the smallest prime at each step gives its prime factorization:

888 ÷ 2 = 444
444 ÷ 2 = 222
222 ÷ 2 = 111
111 ÷ 3 = 37
37 ÷ 37 = 1
Result: 888 = 2 × 2 × 2 × 3 × 37 = 2³ × 3 × 37

The distinct prime factors of 888 are 2, 3, 37. To factorize any other number, use the prime factorization calculator.

Factor tree of 888

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

Factor tree of 888888244422222111337
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 888

Number of factors16
Sum of factors2280
Sum of proper factors1392
Prime factorization2³ × 3 × 37
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 888 interesting

  • 888 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
  • 888 is an abundant number: its proper factors sum to 1392, which is 504 more than 888 itself.
  • 888 has 3 distinct prime factors (2, 3, 37), which is why it has so many divisors.

How to find the factors of 888 yourself

Divide 888 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 √888 ≈ 29.80, because every factor above that pairs with one below it.

888 ÷ 1 = 888 ✓
888 ÷ 2 = 444 ✓
888 ÷ 3 = 296 ✓
888 ÷ 4 = 222 ✓
888 ÷ 6 = 148 ✓
888 ÷ 8 = 111 ✓
888 ÷ 12 = 74 ✓
888 ÷ 24 = 37 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888. The factor calculator does this automatically for any number.

Numbers mathematically connected to 888.

Frequently asked questions about 888

What are the factors of 888?

The factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, and 888. That is 16 factors in total, counting both 1 and 888.

Is 888 a prime number?

No, 888 is not prime — it is a composite number with 16 factors. A prime number has exactly two factors, but 888 is also divisible by 2.

What is the prime factorization of 888?

The prime factorization of 888 is 2³ × 3 × 37. Written out in full: 2 × 2 × 2 × 3 × 37 = 888. Its distinct prime factors are 2, 3, 37.

What two numbers multiply to give 888?

There are 8 pairs of whole numbers that multiply to 888: 1 × 888, 2 × 444, 3 × 296, 4 × 222, 6 × 148, 8 × 111, 12 × 74, 24 × 37.

What is the sum of the factors of 888?

Adding all the factors of 888 together gives 2280. Excluding 888 itself, the proper factors sum to 1392.

Is 888 a perfect square?

No, 888 is not a perfect square. There is no whole number that multiplies by itself to give 888. The nearest perfect squares are 841 and 900.

What is the largest factor of 888 other than itself?

The largest factor of 888 apart from 888 itself is 444, since 888 ÷ 444 = 2.

How many factors does 888 have?

888 has 16 factors: 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, and 888. You can verify this from the prime factorization 2³ × 3 × 37: add 1 to each exponent and multiply, giving 4 × 2 × 2 = 16.

Explore more

Try another number in the factor calculator, break 888 down further with the prime factorization calculator, or compare 888 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.