Q: What are the prime factors of the number 103,032,135?

 A: 3, 5, 763201

Why are those the prime factors of the number 103,032,135?

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 103,032,135

103,032,135
Factor Arrows
334,344,045
Factor Arrows
311,448,015
Factor Arrows
33,816,005
Factor Arrows
5763,201

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, 5, 763201

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 763,201 = 103,032,135

This can also be written as 33 x 51 x 763,2011 = 103,032,135

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


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