Prime Factorization of 888

What is the Prime Factorization of 888?

Answer: Prime Factors of 888: 2, 2, 2, 3, 37

or

23 × 3 × 37

Explanation of number 888 Prime Factorization

Prime Factorization of 888 it is expressing 888 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 888.

Since number 888 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 888, we have to iteratively divide 888 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 888:

The smallest Prime Number which can divide 888 without a remainder is 2. So the first calculation step would look like:

888 ÷ 2 = 444

Now we repeat this action until the result equals 1:

444 ÷ 2 = 222

222 ÷ 2 = 111

111 ÷ 3 = 37

37 ÷ 37 = 1

Now we have all the Prime Factors for number 888. It is: 2, 2, 2, 3, 37

Or you may also write it in exponential form: 23 × 3 × 37

Prime Factor Tree of 888

We may also express the prime factorization of 888 as a Factor Tree:

Prime factors of 888 factorization tree of 888

Prime Factorization Table

NumberPrime Factors
87332 × 97
8742, 19, 23
53 × 7
87622 × 3 × 73
877
8782, 439
3, 293
24 × 5 × 11
881
2 × 32 × 72
883883
22 × 13 × 17
8853, 5, 59
8862, 443
887
23 × 3 × 37
8897, 127
2, 5, 89
34 × 11
89222 × 223
19, 47
8942, 3, 149
8955, 179
27 × 7
3, 13, 23
8982, 449
29, 31
22 × 32 × 52
17, 53
9022, 11, 41

About "Prime Factorization" Calculator

This calculator will perform a Prime Factorization of any given number and will show all its Prime Factors. For example, it can help you find out what is the Prime Factorization of 888? (The answer is: 2, 2, 2, 3, 37). Pick the number for factorization (e.g. '888'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

FAQ

What is the Prime Factorization of 888?

Prime Factors of 888: 2, 2, 2, 3, 37

How many prime factors does 888 have?

Number 888 has 5 Prime Factors

What is the Prime Factorization of 888 in exponential form?

The Prime Factorization of the number 888 in the exponential form is: 23 × 3 × 37