Q: What are the prime factors of the number 207,031,113?

 A: 3, 31, 79, 101

Why are those the prime factors of the number 207,031,113?

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 207,031,113

207,031,113
Factor Arrows
369,010,371
Factor Arrows
323,003,457
Factor Arrows
37,667,819
Factor Arrows
31247,349
Factor Arrows
317,979
Factor Arrows
79101

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, 31, 79, 101

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 31 x 31 x 79 x 101 = 207,031,113

This can also be written as 33 x 312 x 791 x 1011 = 207,031,113

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


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