Q: What are the prime factors of the number 244,311,232?

 A: 2, 11, 347033

Why are those the prime factors of the number 244,311,232?

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 244,311,232

244,311,232
Factor Arrows
2122,155,616
Factor Arrows
261,077,808
Factor Arrows
230,538,904
Factor Arrows
215,269,452
Factor Arrows
27,634,726
Factor Arrows
23,817,363
Factor Arrows
11347,033

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, 347033

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 11 x 347,033 = 244,311,232

This can also be written as 26 x 111 x 347,0331 = 244,311,232

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


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