Q: What are the prime factors of the number 246,133,632?

 A: 2, 3, 640973

Why are those the prime factors of the number 246,133,632?

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 246,133,632

246,133,632
Factor Arrows
2123,066,816
Factor Arrows
261,533,408
Factor Arrows
230,766,704
Factor Arrows
215,383,352
Factor Arrows
27,691,676
Factor Arrows
23,845,838
Factor Arrows
21,922,919
Factor Arrows
3640,973

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, 640973

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 2 x 3 x 640,973 = 246,133,632

This can also be written as 27 x 31 x 640,9731 = 246,133,632

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


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