Prime Factorization of 880

What is the Prime Factorization of 880?

Answer: Prime Factors of 880: 2, 2, 2, 2, 5, 11

or

24 × 5 × 11

Explanation of number 880 Prime Factorization

Prime Factorization of 880 it is expressing 880 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 880.

Since number 880 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 880, we have to iteratively divide 880 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 880:

The smallest Prime Number which can divide 880 without a remainder is 2. So the first calculation step would look like:

880 ÷ 2 = 440

Now we repeat this action until the result equals 1:

440 ÷ 2 = 220

220 ÷ 2 = 110

110 ÷ 2 = 55

55 ÷ 5 = 11

11 ÷ 11 = 1

Now we have all the Prime Factors for number 880. It is: 2, 2, 2, 2, 5, 11

Or you may also write it in exponential form: 24 × 5 × 11

Prime Factor Tree of 880

We may also express the prime factorization of 880 as a Factor Tree:

Prime factors of 880 factorization tree of 880

Prime Factorization Table

NumberPrime Factors
5, 173
8662, 433
3 × 172
86822 × 7 × 31
11, 79
2, 3, 5, 29
87113, 67
87223 × 109
87332 × 97
8742, 19, 23
53 × 7
87622 × 3 × 73
877
8782, 439
8793, 293
24 × 5 × 11
881
2 × 32 × 72
883883
22 × 13 × 17
8853, 5, 59
8862, 443
887887
23 × 3 × 37
8897, 127
2, 5, 89
34 × 11
89222 × 223
19, 47
8942, 3, 149

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 880? (The answer is: 2, 2, 2, 2, 5, 11). Pick the number for factorization (e.g. '880'). 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 880?

Prime Factors of 880: 2, 2, 2, 2, 5, 11

How many prime factors does 880 have?

Number 880 has 6 Prime Factors

What is the Prime Factorization of 880 in exponential form?

The Prime Factorization of the number 880 in the exponential form is: 24 × 5 × 11