Q: What are the prime factors of the number 84,170,060?

 A: 2, 5, 13, 17, 137, 139

Why are those the prime factors of the number 84,170,060?

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 84,170,060

84,170,060
Factor Arrows
242,085,030
Factor Arrows
221,042,515
Factor Arrows
54,208,503
Factor Arrows
13323,731
Factor Arrows
1719,043
Factor Arrows
137139

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, 5, 13, 17, 137, 139

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 13 x 17 x 137 x 139 = 84,170,060

This can also be written as 22 x 51 x 131 x 171 x 1371 x 1391 = 84,170,060

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


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