Q: What are the prime factors of the number 60,252,576?

 A: 2, 3, 37, 16963

Why are those the prime factors of the number 60,252,576?

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 60,252,576

60,252,576
Factor Arrows
230,126,288
Factor Arrows
215,063,144
Factor Arrows
27,531,572
Factor Arrows
23,765,786
Factor Arrows
21,882,893
Factor Arrows
3627,631
Factor Arrows
3716,963

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, 37, 16963

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 37 x 16,963 = 60,252,576

This can also be written as 25 x 31 x 371 x 16,9631 = 60,252,576

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


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