Q: What are the prime factors of the number 130,543,305?

 A: 3, 5, 109, 79843

Why are those the prime factors of the number 130,543,305?

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 130,543,305

130,543,305
Factor Arrows
343,514,435
Factor Arrows
58,702,887
Factor Arrows
10979,843

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, 109, 79843

We can check our work by multiplying all of the prime factors together: 3 x 5 x 109 x 79,843 = 130,543,305

This can also be written as 31 x 51 x 1091 x 79,8431 = 130,543,305

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


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