Q: What are the prime factors of the number 2,623,360?

 A: 2, 5, 4099

Why are those the prime factors of the number 2,623,360?

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 2,623,360

2,623,360
Factor Arrows
21,311,680
Factor Arrows
2655,840
Factor Arrows
2327,920
Factor Arrows
2163,960
Factor Arrows
281,980
Factor Arrows
240,990
Factor Arrows
220,495
Factor Arrows
54,099

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, 4099

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 5 x 4,099 = 2,623,360

This can also be written as 27 x 51 x 4,0991 = 2,623,360

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


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