Q: What are the prime factors of the number 232,002,912?

 A: 2, 3, 2416697

Why are those the prime factors of the number 232,002,912?

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 232,002,912

232,002,912
Factor Arrows
2116,001,456
Factor Arrows
258,000,728
Factor Arrows
229,000,364
Factor Arrows
214,500,182
Factor Arrows
27,250,091
Factor Arrows
32,416,697

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, 2416697

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 2,416,697 = 232,002,912

This can also be written as 25 x 31 x 2,416,6971 = 232,002,912

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


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