Q: What are the prime factors of the number 120,213,232?

 A: 2, 7513327

Why are those the prime factors of the number 120,213,232?

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 120,213,232

120,213,232
Factor Arrows
260,106,616
Factor Arrows
230,053,308
Factor Arrows
215,026,654
Factor Arrows
27,513,327

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, 7513327

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7,513,327 = 120,213,232

This can also be written as 24 x 7,513,3271 = 120,213,232

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


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