Q: What are the prime factors of the number 130,008?

 A: 2, 3, 5417

Why are those the prime factors of the number 130,008?

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 130,008

130,008
Factor Arrows
265,004
Factor Arrows
232,502
Factor Arrows
216,251
Factor Arrows
35,417

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, 5417

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5,417 = 130,008

This can also be written as 23 x 31 x 5,4171 = 130,008

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


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