Q: What are the prime factors of the number 128,526,684?

 A: 2, 3, 11, 13, 619

Why are those the prime factors of the number 128,526,684?

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 128,526,684

128,526,684
Factor Arrows
264,263,342
Factor Arrows
232,131,671
Factor Arrows
310,710,557
Factor Arrows
11973,687
Factor Arrows
1188,517
Factor Arrows
118,047
Factor Arrows
13619

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, 11, 13, 619

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11 x 11 x 11 x 13 x 619 = 128,526,684

This can also be written as 22 x 31 x 113 x 131 x 6191 = 128,526,684

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


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