Q: What are the prime factors of the number 121,615,110?

 A: 2, 3, 5, 17, 101, 787

Why are those the prime factors of the number 121,615,110?

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 121,615,110

121,615,110
Factor Arrows
260,807,555
Factor Arrows
320,269,185
Factor Arrows
36,756,395
Factor Arrows
51,351,279
Factor Arrows
1779,487
Factor Arrows
101787

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, 17, 101, 787

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 17 x 101 x 787 = 121,615,110

This can also be written as 21 x 32 x 51 x 171 x 1011 x 7871 = 121,615,110

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


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