Q: What are the prime factors of the number 422,513,216?

 A: 2, 6601769

Why are those the prime factors of the number 422,513,216?

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 422,513,216

422,513,216
Factor Arrows
2211,256,608
Factor Arrows
2105,628,304
Factor Arrows
252,814,152
Factor Arrows
226,407,076
Factor Arrows
213,203,538
Factor Arrows
26,601,769

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, 6601769

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 6,601,769 = 422,513,216

This can also be written as 26 x 6,601,7691 = 422,513,216

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


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