Q: What are the prime factors of the number 860,004?

 A: 2, 3, 7963

Why are those the prime factors of the number 860,004?

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 860,004

860,004
Factor Arrows
2430,002
Factor Arrows
2215,001
Factor Arrows
371,667
Factor Arrows
323,889
Factor Arrows
37,963

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, 7963

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 7,963 = 860,004

This can also be written as 22 x 33 x 7,9631 = 860,004

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


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