Q: What are the prime factors of the number 232,112,224?

 A: 2, 7253507

Why are those the prime factors of the number 232,112,224?

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 232,112,224

232,112,224
Factor Arrows
2116,056,112
Factor Arrows
258,028,056
Factor Arrows
229,014,028
Factor Arrows
214,507,014
Factor Arrows
27,253,507

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, 7253507

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7,253,507 = 232,112,224

This can also be written as 25 x 7,253,5071 = 232,112,224

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


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