Q: What are the prime factors of the number 222,420,512?

 A: 2, 6950641

Why are those the prime factors of the number 222,420,512?

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 222,420,512

222,420,512
Factor Arrows
2111,210,256
Factor Arrows
255,605,128
Factor Arrows
227,802,564
Factor Arrows
213,901,282
Factor Arrows
26,950,641

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, 6950641

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 6,950,641 = 222,420,512

This can also be written as 25 x 6,950,6411 = 222,420,512

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


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