Q: What are the prime factors of the number 134,404,029?

 A: 3, 553103

Why are those the prime factors of the number 134,404,029?

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 134,404,029

134,404,029
Factor Arrows
344,801,343
Factor Arrows
314,933,781
Factor Arrows
34,977,927
Factor Arrows
31,659,309
Factor Arrows
3553,103

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, 553103

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 553,103 = 134,404,029

This can also be written as 35 x 553,1031 = 134,404,029

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


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