Q: What are the prime factors of the number 244,040,310?

 A: 2, 3, 5, 887, 1019

Why are those the prime factors of the number 244,040,310?

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 244,040,310

244,040,310
Factor Arrows
2122,020,155
Factor Arrows
340,673,385
Factor Arrows
313,557,795
Factor Arrows
34,519,265
Factor Arrows
5903,853
Factor Arrows
8871,019

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, 887, 1019

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 887 x 1,019 = 244,040,310

This can also be written as 21 x 33 x 51 x 8871 x 1,0191 = 244,040,310

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


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