Q: What are the prime factors of the number 7,110,672?

 A: 2, 3, 148139

Why are those the prime factors of the number 7,110,672?

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 7,110,672

7,110,672
Factor Arrows
23,555,336
Factor Arrows
21,777,668
Factor Arrows
2888,834
Factor Arrows
2444,417
Factor Arrows
3148,139

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, 148139

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 148,139 = 7,110,672

This can also be written as 24 x 31 x 148,1391 = 7,110,672

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


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