Q: What are the prime factors of the number 5,043,840?

 A: 2, 3, 5, 37, 71

Why are those the prime factors of the number 5,043,840?

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 5,043,840

5,043,840
Factor Arrows
22,521,920
Factor Arrows
21,260,960
Factor Arrows
2630,480
Factor Arrows
2315,240
Factor Arrows
2157,620
Factor Arrows
278,810
Factor Arrows
239,405
Factor Arrows
313,135
Factor Arrows
52,627
Factor Arrows
3771

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, 37, 71

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 5 x 37 x 71 = 5,043,840

This can also be written as 27 x 31 x 51 x 371 x 711 = 5,043,840

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


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