Question

Rewrite the expression as a product of identical factors to simplify 12523
. Submit your answer in simplified form. (1 point)

Answer 1

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:

1. 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.