Q: What are the prime factors of the number 860,208?

 A: 2, 3, 17921

Why are those the prime factors of the number 860,208?

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 860,208

860,208
Factor Arrows
2430,104
Factor Arrows
2215,052
Factor Arrows
2107,526
Factor Arrows
253,763
Factor Arrows
317,921

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, 17921

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 17,921 = 860,208

This can also be written as 24 x 31 x 17,9211 = 860,208

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


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