Q: What are the prime factors of the number 521,553,222?

 A: 2, 3, 9658393

Why are those the prime factors of the number 521,553,222?

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 521,553,222

521,553,222
Factor Arrows
2260,776,611
Factor Arrows
386,925,537
Factor Arrows
328,975,179
Factor Arrows
39,658,393

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, 9658393

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 9,658,393 = 521,553,222

This can also be written as 21 x 33 x 9,658,3931 = 521,553,222

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


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