Q: What are the prime factors of the number 178,680,699?

 A: 3, 47, 79, 5347

Why are those the prime factors of the number 178,680,699?

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 178,680,699

178,680,699
Factor Arrows
359,560,233
Factor Arrows
319,853,411
Factor Arrows
47422,413
Factor Arrows
795,347

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:

3, 47, 79, 5347

We can check our work by multiplying all of the prime factors together: 3 x 3 x 47 x 79 x 5,347 = 178,680,699

This can also be written as 32 x 471 x 791 x 5,3471 = 178,680,699

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


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