How many numbers between 1 and -50 are divisible by what?
Answer (2)
Find the divisors of -50: 1, 2, 5, 10, 25, 50.
Assume the question asks for the number of positive divisors of -50.
Count the number of positive divisors.
The number of positive divisors of -50 is 6 .
Explanation
Understanding the Problem The question is a bit unclear, but it seems to be asking how many numbers divide both 'i' and -50. Since 'i' is not defined, I will assume 'i' is an integer and provide a general approach. First, we need to find the divisors of -50.
Finding Divisors of -50 The divisors of -50 are the integers that divide -50 without leaving a remainder. These are ± 1 , ± 2 , ± 5 , ± 10 , ± 25 , ± 50 . For simplicity, let's consider only the positive divisors: 1, 2, 5, 10, 25, 50.
Example with i = 10 Now, let's assume a value for 'i' to illustrate the process. For example, let's say i = 10 . The divisors of 10 are 1, 2, 5, and 10.
Finding Common Divisors The common divisors of 10 and -50 are the numbers that appear in both the list of divisors of 10 and the list of divisors of -50. In this case, the common divisors are 1, 2, 5, and 10.
General Solution Therefore, there are 4 common divisors of 10 and -50. However, without knowing the value of 'i', we cannot give a specific numerical answer. We can only describe the method to find the number of common divisors once the value of 'i' is known.
Assuming the Question's Intent If we assume that the question is asking for the number of positive divisors of -50, then the answer would be 6, since the positive divisors of -50 are 1, 2, 5, 10, 25, and 50.
Final Answer Without a specific value for 'i', I will assume the question is asking for the number of positive divisors of -50. Therefore, the answer is 6 .
Examples
Understanding common divisors is useful in cryptography when designing encryption algorithms. For instance, the security of the RSA algorithm relies on the difficulty of factoring large numbers into their prime factors. Finding common divisors helps in simplifying fractions, scheduling events, and understanding number patterns. In real life, this concept is used in various fields such as computer science, engineering, and finance to optimize processes and solve problems related to divisibility and factors.
The number of positive divisors of -50 is 6. These positive divisors include 1, 2, 5, 10, 25, and 50. Therefore, there are 6 numbers (the positive divisors) between 1 and -50 that are divisible by those divisors.
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