Answer:
The probability that a randomly chosen positive divisor of 1099 is an integer multiple of 1088 is 0.
Explanation:
To find the probability, we need to analyze the divisors of 1099 and see how many of them are integer multiples of 1088.
Prime factorization of 1099: 1099 = 13 × 13 × 7
Prime factorization of 1088: 1088 = 2 × 2 × 2 × 2 × 2 × 17
To be a divisor of 1099, the divisor must contain only prime factors that are present in the prime factorization of 1099. The prime factors of 1099 are 13 and 7.
Now, let's consider the prime factors of 1088: 2 and 17. Since neither 2 nor 17 are factors of 1099, any divisor of 1099 cannot be an integer multiple of 1088.
Therefore, there are no divisors of 1099 that are integer multiples of 1088, resulting in a probability of 0.