Q: What are the prime factors of the number 130,224,352?

 A: 2, 17, 239383

Why are those the prime factors of the number 130,224,352?

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 130,224,352

130,224,352
Factor Arrows
265,112,176
Factor Arrows
232,556,088
Factor Arrows
216,278,044
Factor Arrows
28,139,022
Factor Arrows
24,069,511
Factor Arrows
17239,383

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, 17, 239383

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 17 x 239,383 = 130,224,352

This can also be written as 25 x 171 x 239,3831 = 130,224,352

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


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