Q: What are the prime factors of the number 521,024?

 A: 2, 7, 1163

Why are those the prime factors of the number 521,024?

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 521,024

521,024
Factor Arrows
2260,512
Factor Arrows
2130,256
Factor Arrows
265,128
Factor Arrows
232,564
Factor Arrows
216,282
Factor Arrows
28,141
Factor Arrows
71,163

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, 1163

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 7 x 1,163 = 521,024

This can also be written as 26 x 71 x 1,1631 = 521,024

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


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