Q: What are the prime factors of the number 244,006,664?

 A: 2, 11, 19, 13267

Why are those the prime factors of the number 244,006,664?

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 244,006,664

244,006,664
Factor Arrows
2122,003,332
Factor Arrows
261,001,666
Factor Arrows
230,500,833
Factor Arrows
112,772,803
Factor Arrows
11252,073
Factor Arrows
1913,267

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, 11, 19, 13267

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 11 x 19 x 13,267 = 244,006,664

This can also be written as 23 x 112 x 191 x 13,2671 = 244,006,664

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


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