Q: What are the prime factors of the number 345,323,006?

 A: 2, 7, 17, 47, 30871

Why are those the prime factors of the number 345,323,006?

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 345,323,006

345,323,006
Factor Arrows
2172,661,503
Factor Arrows
724,665,929
Factor Arrows
171,450,937
Factor Arrows
4730,871

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, 7, 17, 47, 30871

We can check our work by multiplying all of the prime factors together: 2 x 7 x 17 x 47 x 30,871 = 345,323,006

This can also be written as 21 x 71 x 171 x 471 x 30,8711 = 345,323,006

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


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