Q: What are the prime factors of the number 315,337,024?

 A: 2, 4927141

Why are those the prime factors of the number 315,337,024?

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 315,337,024

315,337,024
Factor Arrows
2157,668,512
Factor Arrows
278,834,256
Factor Arrows
239,417,128
Factor Arrows
219,708,564
Factor Arrows
29,854,282
Factor Arrows
24,927,141

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, 4927141

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 4,927,141 = 315,337,024

This can also be written as 26 x 4,927,1411 = 315,337,024

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


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