Find the product of the smallest prime number and the lowest odd composite number.
Correct Answer :
18
Solution :
The correct answer is 18.
To find the product of the smallest prime number and the lowest odd composite number, let us identify each number step-by-step:
1. Smallest Prime Number:
A prime number is a natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself.
The prime numbers are 2, 3, 5, 7, 11, ...
Therefore, the smallest prime number is 2.
2. Lowest Odd Composite Number:
A composite number is a positive integer greater than 1 that has more than two factors.
The sequence of composite numbers is 4, 6, 8, 9, 10, 12, 14, 15, ...
Filtering for odd numbers from this list gives 9, 15, 21, 25, ...
Therefore, the lowest odd composite number is 9.
3. Calculating the Product:
We now compute the product of 2 and 9:
Thus, the product of the smallest prime number and the lowest odd composite number is 18.
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