Prime Factorization of 884

What is the Prime Factorization of 884?

Answer: Prime Factors of 884: 2, 2, 13, 17

or

22 × 13 × 17

Explanation of number 884 Prime Factorization

Prime Factorization of 884 it is expressing 884 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 884.

Since number 884 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 884, we have to iteratively divide 884 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 884:

The smallest Prime Number which can divide 884 without a remainder is 2. So the first calculation step would look like:

884 ÷ 2 = 442

Now we repeat this action until the result equals 1:

442 ÷ 2 = 221

221 ÷ 13 = 17

17 ÷ 17 = 1

Now we have all the Prime Factors for number 884. It is: 2, 2, 13, 17

Or you may also write it in exponential form: 22 × 13 × 17

Prime Factor Tree of 884

We may also express the prime factorization of 884 as a Factor Tree:

Prime factors of 884 factorization tree of 884

Related Calculations

Prime Factorization Table

NumberPrime Factors
11, 79
2, 3, 5, 29
87113, 67
87223 × 109
32 × 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

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 884? (The answer is: 2, 2, 13, 17). Pick the number for factorization (e.g. '884'). 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 884?

Prime Factors of 884: 2, 2, 13, 17

How many prime factors does 884 have?

Number 884 has 4 Prime Factors

What is the Prime Factorization of 884 in exponential form?

The Prime Factorization of the number 884 in the exponential form is: 22 × 13 × 17