Q: What are the prime factors of the number 130,451,530?

 A: 2, 5, 11, 19, 62417

Why are those the prime factors of the number 130,451,530?

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 130,451,530

130,451,530
Factor Arrows
265,225,765
Factor Arrows
513,045,153
Factor Arrows
111,185,923
Factor Arrows
1962,417

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, 11, 19, 62417

We can check our work by multiplying all of the prime factors together: 2 x 5 x 11 x 19 x 62,417 = 130,451,530

This can also be written as 21 x 51 x 111 x 191 x 62,4171 = 130,451,530

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


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