Q: What are the prime factors of the number 130,224,350?

 A: 2, 5, 101, 107, 241

Why are those the prime factors of the number 130,224,350?

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 130,224,350

130,224,350
Factor Arrows
265,112,175
Factor Arrows
513,022,435
Factor Arrows
52,604,487
Factor Arrows
10125,787
Factor Arrows
107241

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, 101, 107, 241

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 101 x 107 x 241 = 130,224,350

This can also be written as 21 x 52 x 1011 x 1071 x 2411 = 130,224,350

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


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