Q: What are the prime factors of the number 116,672,448?

 A: 2, 3, 607669

Why are those the prime factors of the number 116,672,448?

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 116,672,448

116,672,448
Factor Arrows
258,336,224
Factor Arrows
229,168,112
Factor Arrows
214,584,056
Factor Arrows
27,292,028
Factor Arrows
23,646,014
Factor Arrows
21,823,007
Factor Arrows
3607,669

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, 607669

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 607,669 = 116,672,448

This can also be written as 26 x 31 x 607,6691 = 116,672,448

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


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