Q: What are the prime factors of the number 130,263,084?

 A: 2, 3, 7, 107, 4831

Why are those the prime factors of the number 130,263,084?

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 130,263,084

130,263,084
Factor Arrows
265,131,542
Factor Arrows
232,565,771
Factor Arrows
310,855,257
Factor Arrows
33,618,419
Factor Arrows
7516,917
Factor Arrows
1074,831

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, 7, 107, 4831

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7 x 107 x 4,831 = 130,263,084

This can also be written as 22 x 32 x 71 x 1071 x 4,8311 = 130,263,084

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


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