Q: What are the prime factors of the number 19,300,096?

 A: 2, 75391

Why are those the prime factors of the number 19,300,096?

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 19,300,096

19,300,096
Factor Arrows
29,650,048
Factor Arrows
24,825,024
Factor Arrows
22,412,512
Factor Arrows
21,206,256
Factor Arrows
2603,128
Factor Arrows
2301,564
Factor Arrows
2150,782
Factor Arrows
275,391

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, 75391

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 2 x 2 x 75,391 = 19,300,096

This can also be written as 28 x 75,3911 = 19,300,096

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


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