Q: What are the prime factors of the number 244,213,220?

 A: 2, 5, 41, 431, 691

Why are those the prime factors of the number 244,213,220?

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 244,213,220

244,213,220
Factor Arrows
2122,106,610
Factor Arrows
261,053,305
Factor Arrows
512,210,661
Factor Arrows
41297,821
Factor Arrows
431691

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, 5, 41, 431, 691

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 41 x 431 x 691 = 244,213,220

This can also be written as 22 x 51 x 411 x 4311 x 6911 = 244,213,220

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


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