Q: What are the prime factors of the number 423,003,006?

 A: 2, 3, 7833389

Why are those the prime factors of the number 423,003,006?

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 423,003,006

423,003,006
Factor Arrows
2211,501,503
Factor Arrows
370,500,501
Factor Arrows
323,500,167
Factor Arrows
37,833,389

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, 7833389

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 7,833,389 = 423,003,006

This can also be written as 21 x 33 x 7,833,3891 = 423,003,006

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


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