Q: What are the prime factors of the number 2,130,128?

 A: 2, 7, 11, 13, 19

Why are those the prime factors of the number 2,130,128?

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 2,130,128

2,130,128
Factor Arrows
21,065,064
Factor Arrows
2532,532
Factor Arrows
2266,266
Factor Arrows
2133,133
Factor Arrows
719,019
Factor Arrows
72,717
Factor Arrows
11247
Factor Arrows
1319

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, 11, 13, 19

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 7 x 11 x 13 x 19 = 2,130,128

This can also be written as 24 x 72 x 111 x 131 x 191 = 2,130,128

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


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