Q: What are the prime factors of the number 6,520,520?

 A: 2, 5, 17, 43, 223

Why are those the prime factors of the number 6,520,520?

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 6,520,520

6,520,520
Factor Arrows
23,260,260
Factor Arrows
21,630,130
Factor Arrows
2815,065
Factor Arrows
5163,013
Factor Arrows
179,589
Factor Arrows
43223

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, 17, 43, 223

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 17 x 43 x 223 = 6,520,520

This can also be written as 23 x 51 x 171 x 431 x 2231 = 6,520,520

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


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