Q: What are the prime factors of the number 4,711,680?

 A: 2, 3, 5, 409

Why are those the prime factors of the number 4,711,680?

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 4,711,680

4,711,680
Factor Arrows
22,355,840
Factor Arrows
21,177,920
Factor Arrows
2588,960
Factor Arrows
2294,480
Factor Arrows
2147,240
Factor Arrows
273,620
Factor Arrows
236,810
Factor Arrows
218,405
Factor Arrows
36,135
Factor Arrows
32,045
Factor Arrows
5409

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, 409

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 2 x 3 x 3 x 5 x 409 = 4,711,680

This can also be written as 28 x 32 x 51 x 4091 = 4,711,680

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


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