Which of the following is the product of two even numbers and an odd number, each greater than 1?

Which of the following is the product of two even numbers and an odd number, each greater than 1?

• A. 15
• B. 16
• C. 20
• D. 21

Answer: (C)

The product of two even numbers and one odd number involves understanding the properties of even and odd numbers. Even numbers are multiples of 2, meaning they always yield an even result when multiplied together. When you multiply two even numbers together, the product is also even. An odd number, in contrast, is not divisible by 2 and, when multiplied by an even number, will still yield an even product. Therefore, the combined result of two even numbers and one odd number must necessarily be even. Now, considering the specific answer of 20, we can see that it is indeed the product of two even numbers (for example, 2 and 10 or 4 and 5) multiplied by an odd number (for example, 1). The result is 20, which meets the criteria of being greater than 1. In contrast, the other options either yield odd products (like 15 and 21, both of which cannot be formed by multiplying two evens and an odd together) or do not meet the criteria (such as being only a single even number). Therefore, the only valid option that fits the requirement of being the product of two even numbers and one odd number, greater than 1, is indeed

The product of two even numbers and one odd number involves understanding the properties of even and odd numbers.

Even numbers are multiples of 2, meaning they always yield an even result when multiplied together. When you multiply two even numbers together, the product is also even. An odd number, in contrast, is not divisible by 2 and, when multiplied by an even number, will still yield an even product. Therefore, the combined result of two even numbers and one odd number must necessarily be even.

Now, considering the specific answer of 20, we can see that it is indeed the product of two even numbers (for example, 2 and 10 or 4 and 5) multiplied by an odd number (for example, 1). The result is 20, which meets the criteria of being greater than 1.

In contrast, the other options either yield odd products (like 15 and 21, both of which cannot be formed by multiplying two evens and an odd together) or do not meet the criteria (such as being only a single even number). Therefore, the only valid option that fits the requirement of being the product of two even numbers and one odd number, greater than 1, is indeed