To determine the correct analytical form for the number 45293, we can analyze its prime factorization:
45293 = 3 * 7 * 13 * 229
Therefore, the correct analytical form for the number 45293 is:
45293 = 3^1 * 7^1 * 13^1 * 229^1
This form represents the unique combination of prime factors that make up the number 45293. Each prime factor is raised to the power of its corresponding exponent, indicating the number of times that prime factor appears in the factorization.