Q: What are the prime factors of the number 432,040,203?

 A: 3, 7, 326561

Why are those the prime factors of the number 432,040,203?

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 432,040,203

432,040,203
Factor Arrows
3144,013,401
Factor Arrows
348,004,467
Factor Arrows
316,001,489
Factor Arrows
72,285,927
Factor Arrows
7326,561

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:

3, 7, 326561

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 7 x 326,561 = 432,040,203

This can also be written as 33 x 72 x 326,5611 = 432,040,203

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


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