Q: What are the prime factors of the number 984,128?

 A: 2, 15377

Why are those the prime factors of the number 984,128?

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 984,128

984,128
Factor Arrows
2492,064
Factor Arrows
2246,032
Factor Arrows
2123,016
Factor Arrows
261,508
Factor Arrows
230,754
Factor Arrows
215,377

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, 15377

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 15,377 = 984,128

This can also be written as 26 x 15,3771 = 984,128

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


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