Q: What are the prime factors of the number 222,530,504?

 A: 2, 7, 43, 92413

Why are those the prime factors of the number 222,530,504?

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 222,530,504

222,530,504
Factor Arrows
2111,265,252
Factor Arrows
255,632,626
Factor Arrows
227,816,313
Factor Arrows
73,973,759
Factor Arrows
4392,413

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, 43, 92413

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 43 x 92,413 = 222,530,504

This can also be written as 23 x 71 x 431 x 92,4131 = 222,530,504

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


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