Q: What are the prime factors of the number 60,173,172?

 A: 2, 3, 557159

Why are those the prime factors of the number 60,173,172?

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 60,173,172

60,173,172
Factor Arrows
230,086,586
Factor Arrows
215,043,293
Factor Arrows
35,014,431
Factor Arrows
31,671,477
Factor Arrows
3557,159

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, 557159

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 557,159 = 60,173,172

This can also be written as 22 x 33 x 557,1591 = 60,173,172

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


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