Q: What are the prime factors of the number 163,240,231?

 A: 7, 11, 659, 3217

Why are those the prime factors of the number 163,240,231?

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 163,240,231

163,240,231
Factor Arrows
723,320,033
Factor Arrows
112,120,003
Factor Arrows
6593,217

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, 11, 659, 3217

We can check our work by multiplying all of the prime factors together: 7 x 11 x 659 x 3,217 = 163,240,231

This can also be written as 71 x 111 x 6591 x 3,2171 = 163,240,231

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


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