Q: What are the prime factors of the number 66,664,134?

 A: 2, 3, 15241

Why are those the prime factors of the number 66,664,134?

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 66,664,134

66,664,134
Factor Arrows
233,332,067
Factor Arrows
311,110,689
Factor Arrows
33,703,563
Factor Arrows
31,234,521
Factor Arrows
3411,507
Factor Arrows
3137,169
Factor Arrows
345,723
Factor Arrows
315,241

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, 15241

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 15,241 = 66,664,134

This can also be written as 21 x 37 x 15,2411 = 66,664,134

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


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