Q: What are the prime factors of the number 340,246,431?

 A: 3, 7, 131, 41227

Why are those the prime factors of the number 340,246,431?

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 340,246,431

340,246,431
Factor Arrows
3113,415,477
Factor Arrows
337,805,159
Factor Arrows
75,400,737
Factor Arrows
13141,227

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, 131, 41227

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 131 x 41,227 = 340,246,431

This can also be written as 32 x 71 x 1311 x 41,2271 = 340,246,431

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


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