Q: What are the prime factors of the number 310,301,124?

 A: 2, 3, 7, 75389

Why are those the prime factors of the number 310,301,124?

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 310,301,124

310,301,124
Factor Arrows
2155,150,562
Factor Arrows
277,575,281
Factor Arrows
325,858,427
Factor Arrows
73,694,061
Factor Arrows
7527,723
Factor Arrows
775,389

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, 7, 75389

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 7 x 7 x 75,389 = 310,301,124

This can also be written as 22 x 31 x 73 x 75,3891 = 310,301,124

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


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