Q: What are the prime factors of the number 22,233,344?

 A: 2, 7, 19, 653

Why are those the prime factors of the number 22,233,344?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 22,233,344

22,233,344
Factor Arrows
211,116,672
Factor Arrows
25,558,336
Factor Arrows
22,779,168
Factor Arrows
21,389,584
Factor Arrows
2694,792
Factor Arrows
2347,396
Factor Arrows
2173,698
Factor Arrows
286,849
Factor Arrows
712,407
Factor Arrows
19653

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 7, 19, 653

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 19 x 653 = 22,233,344

This can also be written as 28 x 71 x 191 x 6531 = 22,233,344

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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