Q: What are the prime factors of the number 222,400,014?

 A: 2, 3, 29, 31, 41231

Why are those the prime factors of the number 222,400,014?

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 222,400,014

222,400,014
Factor Arrows
2111,200,007
Factor Arrows
337,066,669
Factor Arrows
291,278,161
Factor Arrows
3141,231

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, 29, 31, 41231

We can check our work by multiplying all of the prime factors together: 2 x 3 x 29 x 31 x 41,231 = 222,400,014

This can also be written as 21 x 31 x 291 x 311 x 41,2311 = 222,400,014

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


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