To determine whether the numbers 36 and 23 are prime or composite, we need to understand the definitions of these terms. A prime number is a number with only two distinct positive divisors, while a composite number has more than two positive divisors. By dividing 36 and 23 by prime numbers less than their square roots, we can determine their primality. 36 is composite because it can be divided by 2 without a remainder, while 23 is prime because it cannot be divided by any prime numbers less than its square root.
To determine whether the numbers 36 and 23 are prime or composite, we need to understand what these terms mean. A prime number is a number that only has two distinct positive divisors: 1 and itself. A composite number, on the other hand, has more than two positive divisors.
- To check if 36 is prime or composite, we can try dividing it by prime numbers less than its square root. If any of these prime numbers divide it without leaving a remainder, then 36 is composite. In this case, we can divide 36 by 2, which gives us 18 without a remainder. Therefore, 36 is composite.
- To check if 23 is prime or composite, we can follow the same process. We can try dividing it by prime numbers less than its square root, which is approximately 4.8. The prime numbers less than 4.8 are 2 and 3. Neither of these numbers divides 23 without leaving a remainder, so 23 is prime.
Therefore, 36 is composite and 23 is prime.
The appropriate question is :
How can you determine whether the numbers 36 and 23, representing the respective quantities of pennies owned by Amy and Tyrell, are prime or composite numbers?