Q: What are the prime factors of the number 429,832?

 A: 2, 13, 4133

Why are those the prime factors of the number 429,832?

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 429,832

429,832
Factor Arrows
2214,916
Factor Arrows
2107,458
Factor Arrows
253,729
Factor Arrows
134,133

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, 13, 4133

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 4,133 = 429,832

This can also be written as 23 x 131 x 4,1331 = 429,832

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


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