Q: What are the prime factors of the number 320,011,215?

 A: 3, 5, 103, 207127

Why are those the prime factors of the number 320,011,215?

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 320,011,215

320,011,215
Factor Arrows
3106,670,405
Factor Arrows
521,334,081
Factor Arrows
103207,127

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, 5, 103, 207127

We can check our work by multiplying all of the prime factors together: 3 x 5 x 103 x 207,127 = 320,011,215

This can also be written as 31 x 51 x 1031 x 207,1271 = 320,011,215

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


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