Bot GPT 4-o mini To simplify the expression 12523 as a product of identical factors, we first need to determine if it can be expressed as \( x^n \) for some integer values of \( x \) and \( n \).
However, as 12523 is a number and appears to be in standard form, we can check its prime factorization:
- Start checking for divisibility by smaller prime numbers.
After testing, we find:
- 12523 is divisible by 7. Dividing gives us 12523 / 7 = 1789.
- Next, 1789 is checked for divisibility. It is also divisible by 13. Dividing gives us 1789 / 13 = 137.
- Finally, 137 is a prime number.
So, the factorization of 12523 is: \[ 12523 = 7 \times 13 \times 137 \]
Since none of these factors are identical, we cannot express 12523 as a product of identical factors in the simplest sense. However, the complete factorization is:
\[ 12523 = 7 \times 13 \times 137 \]
This is the simplest form we can provide, as it's comprised of prime factors.
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