Q: What are the prime factors of the number 130,377,172?

 A: 2, 2837, 11489

Why are those the prime factors of the number 130,377,172?

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 130,377,172

130,377,172
Factor Arrows
265,188,586
Factor Arrows
232,594,293
Factor Arrows
2,83711,489

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, 2837, 11489

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2,837 x 11,489 = 130,377,172

This can also be written as 22 x 2,8371 x 11,4891 = 130,377,172

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


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