Q: What are the prime factors of the number 432,341,216?

 A: 2, 13510663

Why are those the prime factors of the number 432,341,216?

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 432,341,216

432,341,216
Factor Arrows
2216,170,608
Factor Arrows
2108,085,304
Factor Arrows
254,042,652
Factor Arrows
227,021,326
Factor Arrows
213,510,663

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, 13510663

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 13,510,663 = 432,341,216

This can also be written as 25 x 13,510,6631 = 432,341,216

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


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