Q: What are the prime factors of the number 4,255,520?

 A: 2, 5, 26597

Why are those the prime factors of the number 4,255,520?

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 4,255,520

4,255,520
Factor Arrows
22,127,760
Factor Arrows
21,063,880
Factor Arrows
2531,940
Factor Arrows
2265,970
Factor Arrows
2132,985
Factor Arrows
526,597

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, 26597

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 26,597 = 4,255,520

This can also be written as 25 x 51 x 26,5971 = 4,255,520

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


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