Q: What are the prime factors of the number 431,244,094?

 A: 2, 29, 79, 94117

Why are those the prime factors of the number 431,244,094?

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 431,244,094

431,244,094
Factor Arrows
2215,622,047
Factor Arrows
297,435,243
Factor Arrows
7994,117

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, 29, 79, 94117

We can check our work by multiplying all of the prime factors together: 2 x 29 x 79 x 94,117 = 431,244,094

This can also be written as 21 x 291 x 791 x 94,1171 = 431,244,094

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


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