Q: What are the prime factors of the number 863,850?

 A: 2, 3, 5, 13, 443

Why are those the prime factors of the number 863,850?

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 863,850

863,850
Factor Arrows
2431,925
Factor Arrows
3143,975
Factor Arrows
528,795
Factor Arrows
55,759
Factor Arrows
13443

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, 5, 13, 443

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 13 x 443 = 863,850

This can also be written as 21 x 31 x 52 x 131 x 4431 = 863,850

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


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