Q: What are the prime factors of the number 673,856?

 A: 2, 10529

Why are those the prime factors of the number 673,856?

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 673,856

673,856
Factor Arrows
2336,928
Factor Arrows
2168,464
Factor Arrows
284,232
Factor Arrows
242,116
Factor Arrows
221,058
Factor Arrows
210,529

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, 10529

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 10,529 = 673,856

This can also be written as 26 x 10,5291 = 673,856

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


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