Q: What are the prime factors of the number 128,778,592?

 A: 2, 59, 68209

Why are those the prime factors of the number 128,778,592?

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 128,778,592

128,778,592
Factor Arrows
264,389,296
Factor Arrows
232,194,648
Factor Arrows
216,097,324
Factor Arrows
28,048,662
Factor Arrows
24,024,331
Factor Arrows
5968,209

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, 59, 68209

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 59 x 68,209 = 128,778,592

This can also be written as 25 x 591 x 68,2091 = 128,778,592

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


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