Q: What are the prime factors of the number 343,030,112?

 A: 2, 10719691

Why are those the prime factors of the number 343,030,112?

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 343,030,112

343,030,112
Factor Arrows
2171,515,056
Factor Arrows
285,757,528
Factor Arrows
242,878,764
Factor Arrows
221,439,382
Factor Arrows
210,719,691

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, 10719691

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 10,719,691 = 343,030,112

This can also be written as 25 x 10,719,6911 = 343,030,112

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


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