Q: What are the prime factors of the number 341,431,443?

 A: 3, 79, 229, 233

Why are those the prime factors of the number 341,431,443?

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 341,431,443

341,431,443
Factor Arrows
3113,810,481
Factor Arrows
337,936,827
Factor Arrows
312,645,609
Factor Arrows
34,215,203
Factor Arrows
7953,357
Factor Arrows
229233

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, 79, 229, 233

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 79 x 229 x 233 = 341,431,443

This can also be written as 34 x 791 x 2291 x 2331 = 341,431,443

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


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