Q: What are the prime factors of the number 84,810,680?

 A: 2, 5, 19, 111593

Why are those the prime factors of the number 84,810,680?

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 84,810,680

84,810,680
Factor Arrows
242,405,340
Factor Arrows
221,202,670
Factor Arrows
210,601,335
Factor Arrows
52,120,267
Factor Arrows
19111,593

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, 19, 111593

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 19 x 111,593 = 84,810,680

This can also be written as 23 x 51 x 191 x 111,5931 = 84,810,680

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


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