Q: What are the prime factors of the number 341,440,603?

 A: 7, 31, 229, 6871

Why are those the prime factors of the number 341,440,603?

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 341,440,603

341,440,603
Factor Arrows
748,777,229
Factor Arrows
311,573,459
Factor Arrows
2296,871

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:

7, 31, 229, 6871

We can check our work by multiplying all of the prime factors together: 7 x 31 x 229 x 6,871 = 341,440,603

This can also be written as 71 x 311 x 2291 x 6,8711 = 341,440,603

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


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