Q: What are the prime factors of the number 222,660,544?

 A: 2, 19, 71, 2579

Why are those the prime factors of the number 222,660,544?

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 222,660,544

222,660,544
Factor Arrows
2111,330,272
Factor Arrows
255,665,136
Factor Arrows
227,832,568
Factor Arrows
213,916,284
Factor Arrows
26,958,142
Factor Arrows
23,479,071
Factor Arrows
19183,109
Factor Arrows
712,579

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, 19, 71, 2579

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 19 x 71 x 2,579 = 222,660,544

This can also be written as 26 x 191 x 711 x 2,5791 = 222,660,544

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


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