Q: What are the prime factors of the number 60,651,456?

 A: 2, 3, 315893

Why are those the prime factors of the number 60,651,456?

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 60,651,456

60,651,456
Factor Arrows
230,325,728
Factor Arrows
215,162,864
Factor Arrows
27,581,432
Factor Arrows
23,790,716
Factor Arrows
21,895,358
Factor Arrows
2947,679
Factor Arrows
3315,893

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, 315893

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 315,893 = 60,651,456

This can also be written as 26 x 31 x 315,8931 = 60,651,456

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


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