Q: What are the prime factors of the number 4,127,520?

 A: 2, 3, 5, 8599

Why are those the prime factors of the number 4,127,520?

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 4,127,520

4,127,520
Factor Arrows
22,063,760
Factor Arrows
21,031,880
Factor Arrows
2515,940
Factor Arrows
2257,970
Factor Arrows
2128,985
Factor Arrows
342,995
Factor Arrows
58,599

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, 8599

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 5 x 8,599 = 4,127,520

This can also be written as 25 x 31 x 51 x 8,5991 = 4,127,520

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


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