Q: What are the prime factors of the number 244,644,422?

 A: 2, 11, 23, 101, 4787

Why are those the prime factors of the number 244,644,422?

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 244,644,422

244,644,422
Factor Arrows
2122,322,211
Factor Arrows
1111,120,201
Factor Arrows
23483,487
Factor Arrows
1014,787

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, 23, 101, 4787

We can check our work by multiplying all of the prime factors together: 2 x 11 x 23 x 101 x 4,787 = 244,644,422

This can also be written as 21 x 111 x 231 x 1011 x 4,7871 = 244,644,422

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


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