Q: What are the prime factors of the number 134,332,413?

 A: 3, 19, 269, 8761

Why are those the prime factors of the number 134,332,413?

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 134,332,413

134,332,413
Factor Arrows
344,777,471
Factor Arrows
192,356,709
Factor Arrows
2698,761

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:

3, 19, 269, 8761

We can check our work by multiplying all of the prime factors together: 3 x 19 x 269 x 8,761 = 134,332,413

This can also be written as 31 x 191 x 2691 x 8,7611 = 134,332,413

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


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