Question
(c) Is 748 prime? If not, state the smallest prime number by which 748 is divisible. Select the correct choice below, and if necessary, fill in the answer box within your choice. A. The number is not prime. The smallest prime number that it is divisible by is B. The number is prime.
Ask by Horton Spencer. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The number 748 is not prime. The smallest prime number that divides it is 2.
Solution
1. Since \(748\) is even (its last digit is \(8\)), it is divisible by \(2\).
2. Dividing, we have:
\[
\frac{748}{2} = 374
\]
3. Therefore, \(748\) is not a prime number and the smallest prime number by which it is divisible is \(2\).
Answer: A. The number is not prime. The smallest prime number that it is divisible by is \(2\).
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Simplify this solution Bonus Knowledge
A. The number is not prime. The smallest prime number that it is divisible by is 2. Since 748 is an even number, it can be evenly divided by 2, showing that it's not a prime number. Also, did you know that every even number greater than 2 is not prime? It’s a quick rule that can save you time when sorting through numbers. So whenever you spot an even number, just know it's already off the prime list unless it’s the legendary number 2!
