Q: What are the prime factors of the number 606,111,534?

 A: 2, 3, 7, 103, 46703

Why are those the prime factors of the number 606,111,534?

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 606,111,534

606,111,534
Factor Arrows
2303,055,767
Factor Arrows
3101,018,589
Factor Arrows
333,672,863
Factor Arrows
74,810,409
Factor Arrows
10346,703

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, 103, 46703

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 7 x 103 x 46,703 = 606,111,534

This can also be written as 21 x 32 x 71 x 1031 x 46,7031 = 606,111,534

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


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