Q: What are the prime factors of the number 130,263,080?

 A: 2, 5, 163, 19979

Why are those the prime factors of the number 130,263,080?

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 130,263,080

130,263,080
Factor Arrows
265,131,540
Factor Arrows
232,565,770
Factor Arrows
216,282,885
Factor Arrows
53,256,577
Factor Arrows
16319,979

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, 5, 163, 19979

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 163 x 19,979 = 130,263,080

This can also be written as 23 x 51 x 1631 x 19,9791 = 130,263,080

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


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