Q: What are the prime factors of the number 344,224,116?

 A: 2, 3, 43, 222367

Why are those the prime factors of the number 344,224,116?

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 344,224,116

344,224,116
Factor Arrows
2172,112,058
Factor Arrows
286,056,029
Factor Arrows
328,685,343
Factor Arrows
39,561,781
Factor Arrows
43222,367

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, 43, 222367

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 43 x 222,367 = 344,224,116

This can also be written as 22 x 32 x 431 x 222,3671 = 344,224,116

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


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