Q: What are the prime factors of the number 640,128?

 A: 2, 3, 1667

Why are those the prime factors of the number 640,128?

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 640,128

640,128
Factor Arrows
2320,064
Factor Arrows
2160,032
Factor Arrows
280,016
Factor Arrows
240,008
Factor Arrows
220,004
Factor Arrows
210,002
Factor Arrows
25,001
Factor Arrows
31,667

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, 1667

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 2 x 3 x 1,667 = 640,128

This can also be written as 27 x 31 x 1,6671 = 640,128

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


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