Q: What are the prime factors of the number 860,600?

 A: 2, 5, 13, 331

Why are those the prime factors of the number 860,600?

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 860,600

860,600
Factor Arrows
2430,300
Factor Arrows
2215,150
Factor Arrows
2107,575
Factor Arrows
521,515
Factor Arrows
54,303
Factor Arrows
13331

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, 5, 13, 331

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 13 x 331 = 860,600

This can also be written as 23 x 52 x 131 x 3311 = 860,600

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


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