What is the product of the sixth and tenth prime numbers, and which option does it match?

Question

ScanSolve AI Tutor · Accepted Answer

To solve this problem, we need to identify the sixth and tenth prime numbers and then multiply them.

List the first few prime numbers.
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
The prime numbers in ascending order are:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, ...
Identify the sixth prime number.
From the list, the sixth prime number is 13.
Identify the tenth prime number.
From the list, the tenth prime number is 29.
Multiply the sixth prime number by the tenth prime number.
$13 \times 29$
Calculate the product.
$13 \times 29 = 377$
The resultant value is 377.
Compare the result with the given options.
(A) 319
(B) 377
(C) 403
(D) 493

The calculated value matches option (B).

The final answer is $\boxed{\text{B) 377}}$ .

Step-by-step solution