Q: What are the prime factors of the number 246,430,144?

 A: 2, 1433, 2687

Why are those the prime factors of the number 246,430,144?

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 246,430,144

246,430,144
Factor Arrows
2123,215,072
Factor Arrows
261,607,536
Factor Arrows
230,803,768
Factor Arrows
215,401,884
Factor Arrows
27,700,942
Factor Arrows
23,850,471
Factor Arrows
1,4332,687

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, 1433, 2687

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 1,433 x 2,687 = 246,430,144

This can also be written as 26 x 1,4331 x 2,6871 = 246,430,144

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


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