Q: What are the prime factors of the number 178,702,672?

 A: 2, 61, 277, 661

Why are those the prime factors of the number 178,702,672?

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 178,702,672

178,702,672
Factor Arrows
289,351,336
Factor Arrows
244,675,668
Factor Arrows
222,337,834
Factor Arrows
211,168,917
Factor Arrows
61183,097
Factor Arrows
277661

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, 61, 277, 661

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 61 x 277 x 661 = 178,702,672

This can also be written as 24 x 611 x 2771 x 6611 = 178,702,672

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


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