Q: What are the prime factors of the number 130,507,628?

 A: 2, 223, 146309

Why are those the prime factors of the number 130,507,628?

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 130,507,628

130,507,628
Factor Arrows
265,253,814
Factor Arrows
232,626,907
Factor Arrows
223146,309

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, 223, 146309

We can check our work by multiplying all of the prime factors together: 2 x 2 x 223 x 146,309 = 130,507,628

This can also be written as 22 x 2231 x 146,3091 = 130,507,628

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


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