Q: What are the prime factors of the number 84,032,707?

 A: 11, 43, 101, 1759

Why are those the prime factors of the number 84,032,707?

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 84,032,707

84,032,707
Factor Arrows
117,639,337
Factor Arrows
43177,659
Factor Arrows
1011,759

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:

11, 43, 101, 1759

We can check our work by multiplying all of the prime factors together: 11 x 43 x 101 x 1,759 = 84,032,707

This can also be written as 111 x 431 x 1011 x 1,7591 = 84,032,707

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


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