Q: What are the prime factors of the number 606,315,030?

 A: 2, 3, 5, 17, 241, 4933

Why are those the prime factors of the number 606,315,030?

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 606,315,030

606,315,030
Factor Arrows
2303,157,515
Factor Arrows
3101,052,505
Factor Arrows
520,210,501
Factor Arrows
171,188,853
Factor Arrows
2414,933

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, 5, 17, 241, 4933

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 17 x 241 x 4,933 = 606,315,030

This can also be written as 21 x 31 x 51 x 171 x 2411 x 4,9331 = 606,315,030

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


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