Q: What are the prime factors of the number 879,860?

 A: 2, 5, 29, 37, 41

Why are those the prime factors of the number 879,860?

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 879,860

879,860
Factor Arrows
2439,930
Factor Arrows
2219,965
Factor Arrows
543,993
Factor Arrows
291,517
Factor Arrows
3741

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, 29, 37, 41

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 29 x 37 x 41 = 879,860

This can also be written as 22 x 51 x 291 x 371 x 411 = 879,860

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


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