Q: What are the prime factors of the number 244,101,330?

 A: 2, 3, 5, 11, 82189

Why are those the prime factors of the number 244,101,330?

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 244,101,330

244,101,330
Factor Arrows
2122,050,665
Factor Arrows
340,683,555
Factor Arrows
313,561,185
Factor Arrows
34,520,395
Factor Arrows
5904,079
Factor Arrows
1182,189

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, 5, 11, 82189

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 11 x 82,189 = 244,101,330

This can also be written as 21 x 33 x 51 x 111 x 82,1891 = 244,101,330

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


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