Q: What are the prime factors of the number 130,473,534?

 A: 2, 3, 4253, 5113

Why are those the prime factors of the number 130,473,534?

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 130,473,534

130,473,534
Factor Arrows
265,236,767
Factor Arrows
321,745,589
Factor Arrows
4,2535,113

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, 4253, 5113

We can check our work by multiplying all of the prime factors together: 2 x 3 x 4,253 x 5,113 = 130,473,534

This can also be written as 21 x 31 x 4,2531 x 5,1131 = 130,473,534

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


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