Q: What are the prime factors of the number 173,067,518?

 A: 2, 13, 43, 283, 547

Why are those the prime factors of the number 173,067,518?

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 173,067,518

173,067,518
Factor Arrows
286,533,759
Factor Arrows
136,656,443
Factor Arrows
43154,801
Factor Arrows
283547

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, 13, 43, 283, 547

We can check our work by multiplying all of the prime factors together: 2 x 13 x 43 x 283 x 547 = 173,067,518

This can also be written as 21 x 131 x 431 x 2831 x 5471 = 173,067,518

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


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