Q: What are the prime factors of the number 854,670?

 A: 2, 3, 5, 31, 919

Why are those the prime factors of the number 854,670?

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 854,670

854,670
Factor Arrows
2427,335
Factor Arrows
3142,445
Factor Arrows
528,489
Factor Arrows
31919

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, 31, 919

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 31 x 919 = 854,670

This can also be written as 21 x 31 x 51 x 311 x 9191 = 854,670

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


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