Q: What are the prime factors of the number 520,221,020?

 A: 2, 5, 11, 89, 163

Why are those the prime factors of the number 520,221,020?

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 520,221,020

520,221,020
Factor Arrows
2260,110,510
Factor Arrows
2130,055,255
Factor Arrows
526,011,051
Factor Arrows
112,364,641
Factor Arrows
8926,569
Factor Arrows
163163

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, 11, 89, 163

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 11 x 89 x 163 x 163 = 520,221,020

This can also be written as 22 x 51 x 111 x 891 x 1632 = 520,221,020

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


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