Q: What are the prime factors of the number 246,044,331?

 A: 3, 13, 131, 5351

Why are those the prime factors of the number 246,044,331?

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 246,044,331

246,044,331
Factor Arrows
382,014,777
Factor Arrows
327,338,259
Factor Arrows
39,112,753
Factor Arrows
13700,981
Factor Arrows
1315,351

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:

3, 13, 131, 5351

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 13 x 131 x 5,351 = 246,044,331

This can also be written as 33 x 131 x 1311 x 5,3511 = 246,044,331

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


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