Q: What are the prime factors of the number 523,632,015?

 A: 3, 5, 359, 32413

Why are those the prime factors of the number 523,632,015?

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 523,632,015

523,632,015
Factor Arrows
3174,544,005
Factor Arrows
358,181,335
Factor Arrows
511,636,267
Factor Arrows
35932,413

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, 359, 32413

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 359 x 32,413 = 523,632,015

This can also be written as 32 x 51 x 3591 x 32,4131 = 523,632,015

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


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