Q: What are the prime factors of the number 855,000?

 A: 2, 3, 5, 19

Why are those the prime factors of the number 855,000?

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 855,000

855,000
Factor Arrows
2427,500
Factor Arrows
2213,750
Factor Arrows
2106,875
Factor Arrows
335,625
Factor Arrows
311,875
Factor Arrows
52,375
Factor Arrows
5475
Factor Arrows
595
Factor Arrows
519

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, 19

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 5 x 19 = 855,000

This can also be written as 23 x 32 x 54 x 191 = 855,000

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


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