Q: What are the prime factors of the number 173,324,994?

 A: 2, 3, 277, 104287

Why are those the prime factors of the number 173,324,994?

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 173,324,994

173,324,994
Factor Arrows
286,662,497
Factor Arrows
328,887,499
Factor Arrows
277104,287

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, 277, 104287

We can check our work by multiplying all of the prime factors together: 2 x 3 x 277 x 104,287 = 173,324,994

This can also be written as 21 x 31 x 2771 x 104,2871 = 173,324,994

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


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