Question

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

Answer 1

125 2/3 sorry not 12523

Answer 2

To express the number 12523 as a product of identical factors, we can factor it into its prime factors:

First, we can check if 12523 can be factored:

1. It’s not divisible by 2 (not even).
2. Sum of digits (1 + 2 + 5 + 2 + 3 = 13) is not divisible by 3, so it's not divisible by 3.
3. It does not end in 0 or 5, so it’s not divisible by 5.
4. Continuing to test prime numbers up to the square root of 12523, we find:

After testing a few primes, we find:

12523 = 17 × 737.

7 and 37 are primes, meanwhile, 737 can be factored further:

737 = 11 × 67.

Thus, 12523 = 17 × 11 × 67.

To express this as a product of identical factors, we consider combinations. However, 12523 does not seem to have identical factors.

Since 12523 can be factorized into primes as \( 17^1 \times 11^1 \times 67^1 \), it does not simplify further into a product of identical factors like squares or cubes.

In conclusion, **12523 is already in its simplest factorization form as a product of distinct primes: 17, 11, and 67.**