Q: What are the prime factors of the number 35,123,054?

 A: 2, 17, 59, 17509

Why are those the prime factors of the number 35,123,054?

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 35,123,054

35,123,054
Factor Arrows
217,561,527
Factor Arrows
171,033,031
Factor Arrows
5917,509

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, 17, 59, 17509

We can check our work by multiplying all of the prime factors together: 2 x 17 x 59 x 17,509 = 35,123,054

This can also be written as 21 x 171 x 591 x 17,5091 = 35,123,054

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


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