Q: What are the prime factors of the number 60,904,116?

 A: 2, 3, 7, 13, 6197

Why are those the prime factors of the number 60,904,116?

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 60,904,116

60,904,116
Factor Arrows
230,452,058
Factor Arrows
215,226,029
Factor Arrows
35,075,343
Factor Arrows
31,691,781
Factor Arrows
3563,927
Factor Arrows
780,561
Factor Arrows
136,197

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, 7, 13, 6197

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 7 x 13 x 6,197 = 60,904,116

This can also be written as 22 x 33 x 71 x 131 x 6,1971 = 60,904,116

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


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