Q: What are the prime factors of the number 60,334,064?

 A: 2, 7, 538697

Why are those the prime factors of the number 60,334,064?

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 60,334,064

60,334,064
Factor Arrows
230,167,032
Factor Arrows
215,083,516
Factor Arrows
27,541,758
Factor Arrows
23,770,879
Factor Arrows
7538,697

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, 7, 538697

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 538,697 = 60,334,064

This can also be written as 24 x 71 x 538,6971 = 60,334,064

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


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