Q: What are the prime factors of the number 432,022,225?

 A: 5, 23, 751343

Why are those the prime factors of the number 432,022,225?

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 432,022,225

432,022,225
Factor Arrows
586,404,445
Factor Arrows
517,280,889
Factor Arrows
23751,343

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:

5, 23, 751343

We can check our work by multiplying all of the prime factors together: 5 x 5 x 23 x 751,343 = 432,022,225

This can also be written as 52 x 231 x 751,3431 = 432,022,225

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


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