Q: What are the prime factors of the number 19,150,128?

 A: 2, 3, 97, 457

Why are those the prime factors of the number 19,150,128?

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 19,150,128

19,150,128
Factor Arrows
29,575,064
Factor Arrows
24,787,532
Factor Arrows
22,393,766
Factor Arrows
21,196,883
Factor Arrows
3398,961
Factor Arrows
3132,987
Factor Arrows
344,329
Factor Arrows
97457

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, 97, 457

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 97 x 457 = 19,150,128

This can also be written as 24 x 33 x 971 x 4571 = 19,150,128

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


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