Q: What are the prime factors of the number 121,220,022?

 A: 2, 3, 7, 11, 37483

Why are those the prime factors of the number 121,220,022?

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 121,220,022

121,220,022
Factor Arrows
260,610,011
Factor Arrows
320,203,337
Factor Arrows
72,886,191
Factor Arrows
7412,313
Factor Arrows
1137,483

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, 7, 11, 37483

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 7 x 11 x 37,483 = 121,220,022

This can also be written as 21 x 31 x 72 x 111 x 37,4831 = 121,220,022

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


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