Q: What are the prime factors of the number 130,003,336?

 A: 2, 31, 113, 4639

Why are those the prime factors of the number 130,003,336?

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 130,003,336

130,003,336
Factor Arrows
265,001,668
Factor Arrows
232,500,834
Factor Arrows
216,250,417
Factor Arrows
31524,207
Factor Arrows
1134,639

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, 31, 113, 4639

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 31 x 113 x 4,639 = 130,003,336

This can also be written as 23 x 311 x 1131 x 4,6391 = 130,003,336

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


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