Q: What are the prime factors of the number 6,615,808?

 A: 2, 43, 601

Why are those the prime factors of the number 6,615,808?

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 6,615,808

6,615,808
Factor Arrows
23,307,904
Factor Arrows
21,653,952
Factor Arrows
2826,976
Factor Arrows
2413,488
Factor Arrows
2206,744
Factor Arrows
2103,372
Factor Arrows
251,686
Factor Arrows
225,843
Factor Arrows
43601

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, 43, 601

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 43 x 601 = 6,615,808

This can also be written as 28 x 431 x 6011 = 6,615,808

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


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