Q: What are the prime factors of the number 60,332,805?

 A: 3, 5, 13, 151, 683

Why are those the prime factors of the number 60,332,805?

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 60,332,805

60,332,805
Factor Arrows
320,110,935
Factor Arrows
36,703,645
Factor Arrows
51,340,729
Factor Arrows
13103,133
Factor Arrows
151683

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, 13, 151, 683

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 13 x 151 x 683 = 60,332,805

This can also be written as 32 x 51 x 131 x 1511 x 6831 = 60,332,805

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


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