Q: What are the prime factors of the number 658,854?

 A: 2, 3, 7, 83

Why are those the prime factors of the number 658,854?

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 658,854

658,854
Factor Arrows
2329,427
Factor Arrows
3109,809
Factor Arrows
336,603
Factor Arrows
312,201
Factor Arrows
34,067
Factor Arrows
7581
Factor Arrows
783

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, 7, 83

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 7 x 7 x 83 = 658,854

This can also be written as 21 x 34 x 72 x 831 = 658,854

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


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