Q: What are the prime factors of the number 2,032,008?

 A: 2, 3, 11, 43, 179

Why are those the prime factors of the number 2,032,008?

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 2,032,008

2,032,008
Factor Arrows
21,016,004
Factor Arrows
2508,002
Factor Arrows
2254,001
Factor Arrows
384,667
Factor Arrows
117,697
Factor Arrows
43179

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, 11, 43, 179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 11 x 43 x 179 = 2,032,008

This can also be written as 23 x 31 x 111 x 431 x 1791 = 2,032,008

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


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