Q: What are the prime factors of the number 829,186?

 A: 2, 59, 7027

Why are those the prime factors of the number 829,186?

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 829,186

829,186
Factor Arrows
2414,593
Factor Arrows
597,027

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, 59, 7027

We can check our work by multiplying all of the prime factors together: 2 x 59 x 7,027 = 829,186

This can also be written as 21 x 591 x 7,0271 = 829,186

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


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