Q: What are the prime factors of the number 7,590,108?

 A: 2, 3, 61, 10369

Why are those the prime factors of the number 7,590,108?

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 7,590,108

7,590,108
Factor Arrows
23,795,054
Factor Arrows
21,897,527
Factor Arrows
3632,509
Factor Arrows
6110,369

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, 3, 61, 10369

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 61 x 10,369 = 7,590,108

This can also be written as 22 x 31 x 611 x 10,3691 = 7,590,108

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


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