Q: What are the prime factors of the number 60,650,040?

 A: 2, 3, 5, 11, 4177

Why are those the prime factors of the number 60,650,040?

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 60,650,040

60,650,040
Factor Arrows
230,325,020
Factor Arrows
215,162,510
Factor Arrows
27,581,255
Factor Arrows
32,527,085
Factor Arrows
5505,417
Factor Arrows
1145,947
Factor Arrows
114,177

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, 5, 11, 4177

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 11 x 11 x 4,177 = 60,650,040

This can also be written as 23 x 31 x 51 x 112 x 4,1771 = 60,650,040

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


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