Mullins Craig
03/09/2023 · Senior High School
Of the following numbers, which one is prime: \( 32,42,29,15 \) ? A) 29 B) 15 C) 32 D) 42
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Step-by-step Solution
To determine which of the given numbers is prime, we need to check each number for primality. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
1. **32**: The divisors of 32 are 1, 2, 4, 8, 16, and 32. Since it has divisors other than 1 and itself, 32 is not prime.
2. **42**: The divisors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42. Since it has divisors other than 1 and itself, 42 is not prime.
3. **29**: The only divisors of 29 are 1 and 29. Since it has no divisors other than 1 and itself, 29 is prime.
4. **15**: The divisors of 15 are 1, 3, 5, and 15. Since it has divisors other than 1 and itself, 15 is not prime.
From the analysis, the only prime number among the options is:
\[
\boxed{29}
\]
Quick Answer
The prime number is 29. Therefore, the correct answer is A) 29.
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