Q: What are the prime factors of the number 131,202,108?

 A: 2, 3, 3644503

Why are those the prime factors of the number 131,202,108?

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 131,202,108

131,202,108
Factor Arrows
265,601,054
Factor Arrows
232,800,527
Factor Arrows
310,933,509
Factor Arrows
33,644,503

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, 3644503

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3,644,503 = 131,202,108

This can also be written as 22 x 32 x 3,644,5031 = 131,202,108

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


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