Q: What are the prime factors of the number 472,654,326?

 A: 2, 3, 521, 151201

Why are those the prime factors of the number 472,654,326?

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 472,654,326

472,654,326
Factor Arrows
2236,327,163
Factor Arrows
378,775,721
Factor Arrows
521151,201

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, 3, 521, 151201

We can check our work by multiplying all of the prime factors together: 2 x 3 x 521 x 151,201 = 472,654,326

This can also be written as 21 x 31 x 5211 x 151,2011 = 472,654,326

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


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