Q: What are the prime factors of the number 63,203,177?

 A: 19, 67, 131, 379

Why are those the prime factors of the number 63,203,177?

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 63,203,177

63,203,177
Factor Arrows
193,326,483
Factor Arrows
6749,649
Factor Arrows
131379

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:

19, 67, 131, 379

We can check our work by multiplying all of the prime factors together: 19 x 67 x 131 x 379 = 63,203,177

This can also be written as 191 x 671 x 1311 x 3791 = 63,203,177

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


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