Q: What are the prime factors of the number 246,663,136?

 A: 2, 43, 179261

Why are those the prime factors of the number 246,663,136?

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 246,663,136

246,663,136
Factor Arrows
2123,331,568
Factor Arrows
261,665,784
Factor Arrows
230,832,892
Factor Arrows
215,416,446
Factor Arrows
27,708,223
Factor Arrows
43179,261

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, 43, 179261

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 43 x 179,261 = 246,663,136

This can also be written as 25 x 431 x 179,2611 = 246,663,136

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


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