Q: What are the prime factors of the number 130,547,062?

 A: 2, 19, 97, 107, 331

Why are those the prime factors of the number 130,547,062?

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 130,547,062

130,547,062
Factor Arrows
265,273,531
Factor Arrows
193,435,449
Factor Arrows
9735,417
Factor Arrows
107331

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, 19, 97, 107, 331

We can check our work by multiplying all of the prime factors together: 2 x 19 x 97 x 107 x 331 = 130,547,062

This can also be written as 21 x 191 x 971 x 1071 x 3311 = 130,547,062

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


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