Q: What are the prime factors of the number 103,413,328?

 A: 2, 631, 10243

Why are those the prime factors of the number 103,413,328?

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 103,413,328

103,413,328
Factor Arrows
251,706,664
Factor Arrows
225,853,332
Factor Arrows
212,926,666
Factor Arrows
26,463,333
Factor Arrows
63110,243

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, 631, 10243

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 631 x 10,243 = 103,413,328

This can also be written as 24 x 6311 x 10,2431 = 103,413,328

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


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