Q: What are the prime factors of the number 130,003,350?

 A: 2, 3, 5, 866689

Why are those the prime factors of the number 130,003,350?

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 130,003,350

130,003,350
Factor Arrows
265,001,675
Factor Arrows
321,667,225
Factor Arrows
54,333,445
Factor Arrows
5866,689

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, 5, 866689

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 866,689 = 130,003,350

This can also be written as 21 x 31 x 52 x 866,6891 = 130,003,350

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


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