Q: What are the prime factors of the number 60,010,176?

 A: 2, 3, 312553

Why are those the prime factors of the number 60,010,176?

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 60,010,176

60,010,176
Factor Arrows
230,005,088
Factor Arrows
215,002,544
Factor Arrows
27,501,272
Factor Arrows
23,750,636
Factor Arrows
21,875,318
Factor Arrows
2937,659
Factor Arrows
3312,553

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, 312553

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 312,553 = 60,010,176

This can also be written as 26 x 31 x 312,5531 = 60,010,176

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


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