Q: What are the prime factors of the number 128,526,464?

 A: 2, 11, 91283

Why are those the prime factors of the number 128,526,464?

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 128,526,464

128,526,464
Factor Arrows
264,263,232
Factor Arrows
232,131,616
Factor Arrows
216,065,808
Factor Arrows
28,032,904
Factor Arrows
24,016,452
Factor Arrows
22,008,226
Factor Arrows
21,004,113
Factor Arrows
1191,283

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, 91283

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 11 x 91,283 = 128,526,464

This can also be written as 27 x 111 x 91,2831 = 128,526,464

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


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