Q: What are the prime factors of the number 6,607,616?

 A: 2, 53, 487

Why are those the prime factors of the number 6,607,616?

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 6,607,616

6,607,616
Factor Arrows
23,303,808
Factor Arrows
21,651,904
Factor Arrows
2825,952
Factor Arrows
2412,976
Factor Arrows
2206,488
Factor Arrows
2103,244
Factor Arrows
251,622
Factor Arrows
225,811
Factor Arrows
53487

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, 53, 487

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 53 x 487 = 6,607,616

This can also be written as 28 x 531 x 4871 = 6,607,616

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


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