Q: What are the prime factors of the number 663,052,260?

 A: 2, 3, 5, 13, 43, 53, 373

Why are those the prime factors of the number 663,052,260?

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 663,052,260

663,052,260
Factor Arrows
2331,526,130
Factor Arrows
2165,763,065
Factor Arrows
355,254,355
Factor Arrows
511,050,871
Factor Arrows
13850,067
Factor Arrows
4319,769
Factor Arrows
53373

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, 13, 43, 53, 373

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 13 x 43 x 53 x 373 = 663,052,260

This can also be written as 22 x 31 x 51 x 131 x 431 x 531 x 3731 = 663,052,260

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


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