Is the number equal to prime or composite?
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Is the number equal to prime or composite?
To solve this problem, we'll determine if the number is prime or composite by checking its divisibility by numbers other than 1 and 14 itself.
Now, let's work through these steps:
Step 1: Given , check divisibility:
Since 14 is an even number, it is divisible by 2 (i.e., ).
Step 2: As 2 is a divisor other than 1 and itself, 14 cannot be a prime number.
Step 3: Verify divisibility confirms that 14 is composed of factors .
Therefore, the solution to the problem is that the number 14 is composite.
Composite
Is the number equal to \( n \) prime or composite?
\( n=10 \)
Size doesn't determine if a number is prime! The key is how many factors it has. Since 14 is even, it's automatically divisible by 2, giving it at least 3 factors: 1, 2, and 14.
Yes! 2 is the only even prime because all other even numbers are divisible by 2, giving them more than two factors. This makes them composite by definition.
Start with the smallest primes: 2, 3, 5, 7, 11... If any of these divide your number evenly (with no remainder), it's composite! For 14: with no remainder.
They're the same thing! Both terms mean numbers that divide evenly into your original number. For 14, the factors (or divisors) are: 1, 2, 7, and 14.
No! You only need to check up to the square root of your number. For 14, that's about 3.7, so checking 2 and 3 is enough to determine if it's composite.
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