Q: What are the prime factors of the number 320,111,112?

 A: 2, 3, 1997, 6679

Why are those the prime factors of the number 320,111,112?

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 320,111,112

320,111,112
Factor Arrows
2160,055,556
Factor Arrows
280,027,778
Factor Arrows
240,013,889
Factor Arrows
313,337,963
Factor Arrows
1,9976,679

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, 3, 1997, 6679

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 1,997 x 6,679 = 320,111,112

This can also be written as 23 x 31 x 1,9971 x 6,6791 = 320,111,112

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


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