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A truck is traveling down the highway at 40 miles an hour. The driver slows the truck down by pressing the brake pedal every few times. If the speed of his truck evenly drops with each press of the brake pedal, how many times will the truck driver need to press the brake pedal in order to stop the vehicle.
Use factors of 40 to determine how to explain this problem. In other words, there will be multiple answers to this question. Once you figure out the possibilities, see if you can describe them.
Factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40
The factors for 40 can be found by looking at all of the numbers that are 40 and fewer. Ask yourself. Does that number divide into 40 without a remainder? If so, then that number is a factor for 40. If not, then it isn’t a factor for 40.
So, the factors for 40 are 1, 2, 4, 5, 8, 10, 20, and 40.
With the truck driver, we need to first find out the factors of 40. These factors include 1, 2, 4, 5, 8, 10, 20, and 40. This means that the truck driver could push the pedal down 8 different amounts because there are 8 factors for 40.
Most likely, the truck driver did not press the brake pedal the lowest factors and the highest factors. The lowest factors like 1 and 2 would mean that the truck driver probably had to mash the pedal quickly.
If he pressed the gas pedal 10, 20 or 40 times, the truck would be lurching forward many times. That probably didn’t happen. Instead, the driver probably pressed the pedal 4, 5, or 8 times.
With a 40-gallon water heater in your home, this device begins to leak at a rate of 5 gallons of water into the garage every 10 minutes. You will certainly have a mess. Use the factors of 40 to figure out how long you have to stop this device from completely leaking the entire contents of the hot water heater all over your garage floor.
In this case, you have exactly 80 minutes or an hour and 20 minutes before the entire water heater is empty and all over the garage floor. To figure this out, you would need to first find the factor partner of 5. What number times 5 equals 40? That would be 8. Then you would need to multiply 8 because each section of 5 gallons would take place 8 times. Then multiply each time of 8 with 10 minutes. That would be 80 minutes.
You set a timer for your children to clean their rooms. If you did not provide a time, then your children would spend way too long stalling instead of cleaning their rooms. You give them 40 minutes to do this. They complain and complain that 40 minutes is not enough time. So, as an organized individual, you sit down with your children and come up with a plan. You tell your children to divide their room and spend a certain amount of time on each section. The children divide their rooms into 4 sections. How many minutes will they spend on each section? Use the factors of 40 to solve the problem.
You actually have 10 minutes per section. Four and 10 are not only factors of 40, but they are factor partners because four times ten equals 40.
You want to redo your backsplash in your kitchen. At the store, your favorite backsplash comes in a section of square tiles. There are exactly 40 tiles to this section. You know that you will need 20 full sections, but you will need to cut off part of the section to make the backsplash fit. Describe how the section could be arranged so that you would not need to cut through a tile.
The backsplash section is arranged in a pattern of rows and columns. Therefore, with 40 tiles, there could be 10 rows of 4 tiles, 4 rows of 10 tiles, 2 rows of 20 tiles, 20 rows of 2 tiles, 5 rows of 8 tiles or 8 rows of 5 tiles.
To find the factors of 40, you must divide the numbers 1 through 40 to see if these numbers evenly divide into 40 without having a remainder. If there is a remainder, that number is not a factor of 40.
To solve factor questions, it is important to be strong in division and dividing. This is the key skill with factors. You must first analyze the question or word problem first. Then plan on dividing some numbers to see if these are factors of the number.
There isn’t a trick to finding the factors of 40. It is done just like you would find the factors of any other number. You must go through each number between 1 and 40 to find which numbers can evenly divide into 40 without having a remainder.
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