ACT Math : How to multiply even numbers
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Example Question #21 : Even / Odd Numbers
Therefore, which of the following must be true about 
It must be even.
It could be either even or odd.
It must be odd.
It could be either even or odd.
Recall that when you multiply by an even number, you get an even product.
Therefore, we know the following from the first statement:
For the second, we know this:
Since 
Based on all this data, we can tell nothing necessarily about 
Example Question #3 : How To Multiply Even Numbers
In a group of philosophers, 
In a group of philosophers, 
To start, let's calculate the total philosophers:
Ockham: 
Aquinas: 
Scotus: 
Therefore, the total number is:
Example Question #1 : How To Multiply Even Numbers
We know that when you multiply any integer by an even number, the result is even. Thus, if 
Example Question #4 : How To Multiply Even Numbers
The product of three consecutive nonzero integers is taken. Which statement must be true?
Three consecutive integers will include at least one, and possibly two, even integers. Since the addition of even a single even integer to a chain of integer products will make the final product even, we know the product must be even.
Example Question #1 : How To Multiply Even Numbers
Which of the following integers has an even integer value for all positive integers 
There are certain patterns that can be used to predict whether the product or sum of numbers will be odd or even. The sum of two odd numbers is always even, as is the sum of two even numbers. The sum of an odd number and an even number is always odd. In multiplication the product of two odd numbers is always odd. While the product of even numbers, as well as the product of odd numbers multiplied by even numbers is always even. So for this problem we need to find scenarios where the only possibile answers are even. 
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