Q: What are the prime factors of the number 502,212,150?

 A: 2, 3, 5, 11, 11273

Why are those the prime factors of the number 502,212,150?

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 502,212,150

502,212,150
Factor Arrows
2251,106,075
Factor Arrows
383,702,025
Factor Arrows
327,900,675
Factor Arrows
39,300,225
Factor Arrows
33,100,075
Factor Arrows
5620,015
Factor Arrows
5124,003
Factor Arrows
1111,273

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, 11, 11273

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 5 x 5 x 11 x 11,273 = 502,212,150

This can also be written as 21 x 34 x 52 x 111 x 11,2731 = 502,212,150

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


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