Q: What are the prime factors of the number 119,805,448?

 A: 2, 7, 2139383

Why are those the prime factors of the number 119,805,448?

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 119,805,448

119,805,448
Factor Arrows
259,902,724
Factor Arrows
229,951,362
Factor Arrows
214,975,681
Factor Arrows
72,139,383

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, 7, 2139383

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 2,139,383 = 119,805,448

This can also be written as 23 x 71 x 2,139,3831 = 119,805,448

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


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