Q: What are the prime factors of the number 128,601,044?

 A: 2, 11, 13, 19, 11833

Why are those the prime factors of the number 128,601,044?

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 128,601,044

128,601,044
Factor Arrows
264,300,522
Factor Arrows
232,150,261
Factor Arrows
112,922,751
Factor Arrows
13224,827
Factor Arrows
1911,833

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, 11, 13, 19, 11833

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 13 x 19 x 11,833 = 128,601,044

This can also be written as 22 x 111 x 131 x 191 x 11,8331 = 128,601,044

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


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