Q: What are the prime factors of the number 2,363,360?

 A: 2, 5, 14771

Why are those the prime factors of the number 2,363,360?

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 2,363,360

2,363,360
Factor Arrows
21,181,680
Factor Arrows
2590,840
Factor Arrows
2295,420
Factor Arrows
2147,710
Factor Arrows
273,855
Factor Arrows
514,771

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, 14771

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 14,771 = 2,363,360

This can also be written as 25 x 51 x 14,7711 = 2,363,360

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


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