Q: What are the prime factors of the number 6,660,160?

 A: 2, 5, 13, 1601

Why are those the prime factors of the number 6,660,160?

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 6,660,160

6,660,160
Factor Arrows
23,330,080
Factor Arrows
21,665,040
Factor Arrows
2832,520
Factor Arrows
2416,260
Factor Arrows
2208,130
Factor Arrows
2104,065
Factor Arrows
520,813
Factor Arrows
131,601

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, 13, 1601

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 5 x 13 x 1,601 = 6,660,160

This can also be written as 26 x 51 x 131 x 1,6011 = 6,660,160

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


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