Q: What are the prime factors of the number 84,873,560?

 A: 2, 5, 37, 57347

Why are those the prime factors of the number 84,873,560?

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 84,873,560

84,873,560
Factor Arrows
242,436,780
Factor Arrows
221,218,390
Factor Arrows
210,609,195
Factor Arrows
52,121,839
Factor Arrows
3757,347

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, 37, 57347

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 37 x 57,347 = 84,873,560

This can also be written as 23 x 51 x 371 x 57,3471 = 84,873,560

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


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