Q: What are the prime factors of the number 502,204,136?

 A: 2, 7, 29, 6311

Why are those the prime factors of the number 502,204,136?

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 502,204,136

502,204,136
Factor Arrows
2251,102,068
Factor Arrows
2125,551,034
Factor Arrows
262,775,517
Factor Arrows
78,967,931
Factor Arrows
71,281,133
Factor Arrows
7183,019
Factor Arrows
296,311

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, 29, 6311

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 7 x 7 x 29 x 6,311 = 502,204,136

This can also be written as 23 x 73 x 291 x 6,3111 = 502,204,136

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


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