Q: What are the prime factors of the number 430,692?

 A: 2, 3, 19, 1889

Why are those the prime factors of the number 430,692?

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 430,692

430,692
Factor Arrows
2215,346
Factor Arrows
2107,673
Factor Arrows
335,891
Factor Arrows
191,889

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, 19, 1889

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 19 x 1,889 = 430,692

This can also be written as 22 x 31 x 191 x 1,8891 = 430,692

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


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