Q: What are the prime factors of the number 141,412,122?

 A: 2, 3, 43, 60901

Why are those the prime factors of the number 141,412,122?

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 141,412,122

141,412,122
Factor Arrows
270,706,061
Factor Arrows
323,568,687
Factor Arrows
37,856,229
Factor Arrows
32,618,743
Factor Arrows
4360,901

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, 43, 60901

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 43 x 60,901 = 141,412,122

This can also be written as 21 x 33 x 431 x 60,9011 = 141,412,122

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


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