Q: What are the prime factors of the number 121,551,576?

 A: 2, 3, 239, 21191

Why are those the prime factors of the number 121,551,576?

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 121,551,576

121,551,576
Factor Arrows
260,775,788
Factor Arrows
230,387,894
Factor Arrows
215,193,947
Factor Arrows
35,064,649
Factor Arrows
23921,191

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, 239, 21191

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 239 x 21,191 = 121,551,576

This can also be written as 23 x 31 x 2391 x 21,1911 = 121,551,576

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


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