Q: What are the prime factors of the number 60,614,304?

 A: 2, 3, 631399

Why are those the prime factors of the number 60,614,304?

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 60,614,304

60,614,304
Factor Arrows
230,307,152
Factor Arrows
215,153,576
Factor Arrows
27,576,788
Factor Arrows
23,788,394
Factor Arrows
21,894,197
Factor Arrows
3631,399

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, 631399

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 631,399 = 60,614,304

This can also be written as 25 x 31 x 631,3991 = 60,614,304

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


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