Q: What are the prime factors of the number 128,404,068?

 A: 2, 3, 13, 71, 11593

Why are those the prime factors of the number 128,404,068?

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 128,404,068

128,404,068
Factor Arrows
264,202,034
Factor Arrows
232,101,017
Factor Arrows
310,700,339
Factor Arrows
13823,103
Factor Arrows
7111,593

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, 13, 71, 11593

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 13 x 71 x 11,593 = 128,404,068

This can also be written as 22 x 31 x 131 x 711 x 11,5931 = 128,404,068

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


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