Q: What are the prime factors of the number 121,132,220?

 A: 2, 5, 11, 19, 28979

Why are those the prime factors of the number 121,132,220?

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 121,132,220

121,132,220
Factor Arrows
260,566,110
Factor Arrows
230,283,055
Factor Arrows
56,056,611
Factor Arrows
11550,601
Factor Arrows
1928,979

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, 5, 11, 19, 28979

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 11 x 19 x 28,979 = 121,132,220

This can also be written as 22 x 51 x 111 x 191 x 28,9791 = 121,132,220

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


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