Q: What are the prime factors of the number 121,014,036?

 A: 2, 3, 11, 13, 2137

Why are those the prime factors of the number 121,014,036?

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 121,014,036

121,014,036
Factor Arrows
260,507,018
Factor Arrows
230,253,509
Factor Arrows
310,084,503
Factor Arrows
33,361,501
Factor Arrows
11305,591
Factor Arrows
1127,781
Factor Arrows
132,137

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, 11, 13, 2137

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 11 x 11 x 13 x 2,137 = 121,014,036

This can also be written as 22 x 32 x 112 x 131 x 2,1371 = 121,014,036

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


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