Q: What are the prime factors of the number 60,233,568?

 A: 2, 3, 627433

Why are those the prime factors of the number 60,233,568?

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 60,233,568

60,233,568
Factor Arrows
230,116,784
Factor Arrows
215,058,392
Factor Arrows
27,529,196
Factor Arrows
23,764,598
Factor Arrows
21,882,299
Factor Arrows
3627,433

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, 627433

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 627,433 = 60,233,568

This can also be written as 25 x 31 x 627,4331 = 60,233,568

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


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