Q: What are the prime factors of the number 2,927,360?

 A: 2, 5, 2287

Why are those the prime factors of the number 2,927,360?

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 2,927,360

2,927,360
Factor Arrows
21,463,680
Factor Arrows
2731,840
Factor Arrows
2365,920
Factor Arrows
2182,960
Factor Arrows
291,480
Factor Arrows
245,740
Factor Arrows
222,870
Factor Arrows
211,435
Factor Arrows
52,287

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, 5, 2287

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 5 x 2,287 = 2,927,360

This can also be written as 28 x 51 x 2,2871 = 2,927,360

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


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