Q: What are the prime factors of the number 134,034,705?

 A: 3, 5, 7, 607, 701

Why are those the prime factors of the number 134,034,705?

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 134,034,705

134,034,705
Factor Arrows
344,678,235
Factor Arrows
314,892,745
Factor Arrows
52,978,549
Factor Arrows
7425,507
Factor Arrows
607701

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, 5, 7, 607, 701

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 7 x 607 x 701 = 134,034,705

This can also be written as 32 x 51 x 71 x 6071 x 7011 = 134,034,705

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


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