Q: What are the prime factors of the number 345,302,568?

 A: 2, 3, 13, 122971

Why are those the prime factors of the number 345,302,568?

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 345,302,568

345,302,568
Factor Arrows
2172,651,284
Factor Arrows
286,325,642
Factor Arrows
243,162,821
Factor Arrows
314,387,607
Factor Arrows
34,795,869
Factor Arrows
31,598,623
Factor Arrows
13122,971

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, 13, 122971

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 13 x 122,971 = 345,302,568

This can also be written as 23 x 33 x 131 x 122,9711 = 345,302,568

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


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