Shannon says my apartment number is a prime number. Which could be Shannons apartment number? 15 31 or 44 explain answer
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To determine which number could be Shannon's apartment number, we need to verify if each option is a prime number.
A prime number is a positive integer greater than 1 that has no positive integer divisors other than 1 and itself.
Let's go through each option:
1. 15: This is not a prime number because it has divisors other than 1 and itself. Specifically, it can be divided evenly by 1, 3, 5, and 15.
2. 31: This is a prime number because it only has two divisors, 1 and itself (31).
3. 44: This is not a prime number because it has divisors other than 1 and itself. Specifically, it can be divided evenly by 1, 2, 4, 11, 22, and 44.
Therefore, based on the definition of a prime number, Shannon's apartment number could be 31.
To determine which apartment number could be a prime number, we need to understand what prime numbers are.
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. In other words, a prime number is only divisible by 1 and itself.
Let's analyze each apartment number given:
1. Apartment number 15: To check if this is a prime number, we need to determine if it has any divisors other than 1 and 15. We find that 15 is divisible by 1, 3, 5, and 15. Since it has divisors other than 1 and itself, 15 is not a prime number.
2. Apartment number 31: To check if this is a prime number, we need to determine if it has any divisors other than 1 and 31. Since 31 is a prime number itself and has no other divisors, 31 is a prime number.
3. Apartment number 44: To check if this is a prime number, we need to determine if it has any divisors other than 1 and 44. We find that 44 is divisible by 1, 2, 4, 11, 22, and 44. Since it has divisors other than 1 and itself, 44 is not a prime number.
Based on this analysis, Shannon's apartment number can only be 31, as it is the only one that fits the criteria of being a prime number.