Q: What are the prime factors of the number 860,168?

 A: 2, 19, 5659

Why are those the prime factors of the number 860,168?

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 860,168

860,168
Factor Arrows
2430,084
Factor Arrows
2215,042
Factor Arrows
2107,521
Factor Arrows
195,659

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, 19, 5659

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 19 x 5,659 = 860,168

This can also be written as 23 x 191 x 5,6591 = 860,168

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


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