Q: What are the prime factors of the number 860,750?

 A: 2, 5, 11, 313

Why are those the prime factors of the number 860,750?

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 860,750

860,750
Factor Arrows
2430,375
Factor Arrows
586,075
Factor Arrows
517,215
Factor Arrows
53,443
Factor Arrows
11313

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, 11, 313

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 5 x 11 x 313 = 860,750

This can also be written as 21 x 53 x 111 x 3131 = 860,750

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


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