Q: What are the prime factors of the number 60,522,546?

 A: 2, 3, 7, 139, 1481

Why are those the prime factors of the number 60,522,546?

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 60,522,546

60,522,546
Factor Arrows
230,261,273
Factor Arrows
310,087,091
Factor Arrows
71,441,013
Factor Arrows
7205,859
Factor Arrows
1391,481

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, 139, 1481

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 7 x 139 x 1,481 = 60,522,546

This can also be written as 21 x 31 x 72 x 1391 x 1,4811 = 60,522,546

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


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