Q: What are the prime factors of the number 60,741,009?

 A: 3, 7, 11903

Why are those the prime factors of the number 60,741,009?

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 60,741,009

60,741,009
Factor Arrows
320,247,003
Factor Arrows
36,749,001
Factor Arrows
32,249,667
Factor Arrows
3749,889
Factor Arrows
3249,963
Factor Arrows
383,321
Factor Arrows
711,903

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, 7, 11903

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 7 x 11,903 = 60,741,009

This can also be written as 36 x 71 x 11,9031 = 60,741,009

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


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