Q: What are the prime factors of the number 244,102,302?

 A: 2, 3, 47, 96179

Why are those the prime factors of the number 244,102,302?

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 244,102,302

244,102,302
Factor Arrows
2122,051,151
Factor Arrows
340,683,717
Factor Arrows
313,561,239
Factor Arrows
34,520,413
Factor Arrows
4796,179

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, 47, 96179

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 47 x 96,179 = 244,102,302

This can also be written as 21 x 33 x 471 x 96,1791 = 244,102,302

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


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