Q: What are the prime factors of the number 8,324,640?

 A: 2, 3, 5, 41, 47

Why are those the prime factors of the number 8,324,640?

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 8,324,640

8,324,640
Factor Arrows
24,162,320
Factor Arrows
22,081,160
Factor Arrows
21,040,580
Factor Arrows
2520,290
Factor Arrows
2260,145
Factor Arrows
386,715
Factor Arrows
328,905
Factor Arrows
39,635
Factor Arrows
51,927
Factor Arrows
4147

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, 5, 41, 47

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 41 x 47 = 8,324,640

This can also be written as 25 x 33 x 51 x 411 x 471 = 8,324,640

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


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