Introduction
It is 22 degrees outside. You watch the weatherman, and you learn that the temperature is going to drop 2 degrees every day until it gets to zero degrees. This does not sound like it is going to be a pleasant week.
However, you need to know how many days you have before it will reach zero. Sounds pretty easy, right? Well, this has to do with factoring. You could subtract two each day and get your answer. Then count how many times it would take.
Factoring is much better. It makes this process a lot easier and faster to find the answer.
First, you will need to understand the factoring process by finding the factors of 22.
Factors of 22 in Real Life
So, the first thing you do is to write down the first factors. These are factors for all numbers. That would be one and itself.
We could write them in a set of parentheses as shown above. This will make it easier to keep track of all of our factors. Next, we know that 22 is an even number. So, I will divide 2 into 22 to get 2’s factor partner. This would be 11. We will add these factors to our list.
Last, we need to see if there are any more factors. We only have to look at the numbers that would go in between 2 and 11. In this case, 3, 4, 5, 6, 7, 8, 9 and 10 will not evenly divide into 22 without having a remainder. If there is a remainder, then this number would not be a factor of 22.
Factors of 22 are 1, 2, 11, and 22.
Challenging Questions
Question 1List the factors of 22
Which positive whole numbers divide 22 without leaving a remainder?
The factors of 22 are 1, 2, 11, 22.
Each listed number divides the original number evenly.
Question 2Find the factor pairs of 22
Which multiplication pairs have a product of 22?
22 has these positive factor pairs: 1 × 22; 2 × 11.
Multiplying the two numbers in any pair gives the original number.
Question 3Prime-factorize 22
What is the prime factorization of 22?
22 = 2 × 11.
Every number in the product is prime.
