Q: What are the prime factors of the number 4,032,544?

 A: 2, 23, 5479

Why are those the prime factors of the number 4,032,544?

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 4,032,544

4,032,544
Factor Arrows
22,016,272
Factor Arrows
21,008,136
Factor Arrows
2504,068
Factor Arrows
2252,034
Factor Arrows
2126,017
Factor Arrows
235,479

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, 23, 5479

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 23 x 5,479 = 4,032,544

This can also be written as 25 x 231 x 5,4791 = 4,032,544

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


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