Q: What are the prime factors of the number 244,420,032?

 A: 2, 3, 1273021

Why are those the prime factors of the number 244,420,032?

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 244,420,032

244,420,032
Factor Arrows
2122,210,016
Factor Arrows
261,105,008
Factor Arrows
230,552,504
Factor Arrows
215,276,252
Factor Arrows
27,638,126
Factor Arrows
23,819,063
Factor Arrows
31,273,021

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, 1273021

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 1,273,021 = 244,420,032

This can also be written as 26 x 31 x 1,273,0211 = 244,420,032

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


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