Is the number equal to prime or composite?
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Is the number equal to prime or composite?
To determine whether the number is prime or composite, we will use the definitions of prime and composite numbers:
Let's analyze :
Step 1: Since 8 is greater than 1, it can be either prime or composite.
Step 2: List the divisors of 8. The divisors of 8 are 1, 2, 4, and 8.
Step 3: Verify if 8 has divisors other than 1 and itself. We see that 8 is divisible by 2 and 4, in addition to 1 and 8.
Since 8 has divisors other than 1 and itself, 8 is not a prime number.
Therefore, 8 is classified as a composite number.
Thus, the correct answer is composite.
Composite
Is the number equal to \( n \) prime or composite?
\( n=10 \)
Yes! The number 2 is the only even prime number. All other even numbers are divisible by 2, making them composite numbers by definition.
Since 8 is even, you know immediately it's composite! All even numbers except 2 have at least three divisors: 1, 2, and the number itself.
No! You just need to find one divisor other than 1 and the number itself. For 8, finding that 2 is a divisor is enough to prove it's composite.
Think of it this way: Prime numbers are "picky" - they only allow 1 and themselves as divisors. If any other number divides evenly into them, they're composite!
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