Which of the options has the two prime numbers whose product is the biggest even number less than 30?805
2 and 13
To determine which pair of prime numbers has a product that is the largest even number less than 30, we will calculate the product of each pair of numbers and compare them.
- The given pairs of prime numbers are: (3, 11), (3, 7), (2, 13), (2, 5).
- We need to find the largest product, which is also an even number and less than 30.
Let's calculate the product for each pair of numbers:
- 3 \times 11 = 33 (This is an odd number and greater than 30.)
- 3 \times 7 = 21 (This is an odd number.)
- 2 \times 13 = 26 (This is an even number and less than 30.)
- 2 \times 5 = 10 (This is an even number, but less than 26.)
Comparing the products, 26 is the largest even number that is less than 30. Therefore, the correct pair of prime numbers whose product meets the criteria is 2 and 13.
Thus, the correct answer is 2 and 13.
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