Q: What are the prime factors of the number 178,571,356?

 A: 2, 23, 84391

Why are those the prime factors of the number 178,571,356?

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 178,571,356

178,571,356
Factor Arrows
289,285,678
Factor Arrows
244,642,839
Factor Arrows
231,940,993
Factor Arrows
2384,391

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, 23, 84391

We can check our work by multiplying all of the prime factors together: 2 x 2 x 23 x 23 x 84,391 = 178,571,356

This can also be written as 22 x 232 x 84,3911 = 178,571,356

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


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