Q: What are the prime factors of the number 11,280,975?

 A: 3, 5, 150413

Why are those the prime factors of the number 11,280,975?

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 11,280,975

11,280,975
Factor Arrows
33,760,325
Factor Arrows
5752,065
Factor Arrows
5150,413

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, 150413

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 150,413 = 11,280,975

This can also be written as 31 x 52 x 150,4131 = 11,280,975

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


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