Q: What are the prime factors of the number 500,003,520?

 A: 2, 3, 5, 520837

Why are those the prime factors of the number 500,003,520?

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 500,003,520

500,003,520
Factor Arrows
2250,001,760
Factor Arrows
2125,000,880
Factor Arrows
262,500,440
Factor Arrows
231,250,220
Factor Arrows
215,625,110
Factor Arrows
27,812,555
Factor Arrows
32,604,185
Factor Arrows
5520,837

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, 5, 520837

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 3 x 5 x 520,837 = 500,003,520

This can also be written as 26 x 31 x 51 x 520,8371 = 500,003,520

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


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