Q: What are the prime factors of the number 343,341,116?

 A: 2, 383, 224113

Why are those the prime factors of the number 343,341,116?

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 343,341,116

343,341,116
Factor Arrows
2171,670,558
Factor Arrows
285,835,279
Factor Arrows
383224,113

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, 383, 224113

We can check our work by multiplying all of the prime factors together: 2 x 2 x 383 x 224,113 = 343,341,116

This can also be written as 22 x 3831 x 224,1131 = 343,341,116

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


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