Q: What are the prime factors of the number 521,320,562?

 A: 2, 7, 43, 619, 1399

Why are those the prime factors of the number 521,320,562?

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 521,320,562

521,320,562
Factor Arrows
2260,660,281
Factor Arrows
737,237,183
Factor Arrows
43865,981
Factor Arrows
6191,399

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, 7, 43, 619, 1399

We can check our work by multiplying all of the prime factors together: 2 x 7 x 43 x 619 x 1,399 = 521,320,562

This can also be written as 21 x 71 x 431 x 6191 x 1,3991 = 521,320,562

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


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