Q: What are the prime factors of the number 84,400,716?

 A: 2, 3, 17, 24337

Why are those the prime factors of the number 84,400,716?

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 84,400,716

84,400,716
Factor Arrows
242,200,358
Factor Arrows
221,100,179
Factor Arrows
37,033,393
Factor Arrows
17413,729
Factor Arrows
1724,337

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, 17, 24337

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 17 x 17 x 24,337 = 84,400,716

This can also be written as 22 x 31 x 172 x 24,3371 = 84,400,716

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


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