Q: What are the prime factors of the number 520,266,255?

 A: 3, 5, 61, 73, 7789

Why are those the prime factors of the number 520,266,255?

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 520,266,255

520,266,255
Factor Arrows
3173,422,085
Factor Arrows
534,684,417
Factor Arrows
61568,597
Factor Arrows
737,789

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:

3, 5, 61, 73, 7789

We can check our work by multiplying all of the prime factors together: 3 x 5 x 61 x 73 x 7,789 = 520,266,255

This can also be written as 31 x 51 x 611 x 731 x 7,7891 = 520,266,255

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


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