Q: What are the prime factors of the number 83,877,824?

 A: 2, 1310591

Why are those the prime factors of the number 83,877,824?

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 83,877,824

83,877,824
Factor Arrows
241,938,912
Factor Arrows
220,969,456
Factor Arrows
210,484,728
Factor Arrows
25,242,364
Factor Arrows
22,621,182
Factor Arrows
21,310,591

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, 1310591

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 1,310,591 = 83,877,824

This can also be written as 26 x 1,310,5911 = 83,877,824

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


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