Q: What are the prime factors of the number 60,161,022?

 A: 2, 3, 29, 41, 937

Why are those the prime factors of the number 60,161,022?

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 60,161,022

60,161,022
Factor Arrows
230,080,511
Factor Arrows
310,026,837
Factor Arrows
33,342,279
Factor Arrows
31,114,093
Factor Arrows
2938,417
Factor Arrows
41937

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, 29, 41, 937

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 29 x 41 x 937 = 60,161,022

This can also be written as 21 x 33 x 291 x 411 x 9371 = 60,161,022

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


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