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It is family game night! You break out the latest board game for your family of 4. Everyone looks at each other. Should you play individually or in teams? If you play board games with your family or friends, this is something that happens often.
Sometimes, it can be more fun to play in teams, but there are times when you want to be competitive and play individually.
To figure out how many different ways you can play the game, you will need to find the factors of 4. Then you can see if all of them will work.
First, let’s find out the rules to finding factors. Like most concepts in math, there are rules or steps. Factoring is the same way. Let’s use the example above to find the factors of 4 using the rules below.
For 4, there are three factors: (1, 2, 4). Now, let’s look back at our situation with our family playing the game. Using the factors, we could have the following combinations to play:
Your family could divide into 2 teams of 2 or play individually which is shown as 4 teams of 1 player each. Obviously, you would not play with 1 big team. That would not make sense. So, even though 1 is a factor of 4, it may not apply to this situation.
In other situations, it might be a choice to consider, but this game would not be fun to play if everyone was on the same team.
Factors of 4 are 1, 2, and 4
Now, that you have learned the factors of 4, let’s see if you can work these word problems. Just like the problem above with the family’s gameboard situation, see if you can explain.
You want to buy bread, and you have $4 to spend. There are 3 different qualities. Look at the signs below for each type of bread. Use the factors of 4, write down the different combinations for buying the bread.
There are three combinations for buying the bread with $4. You could buy 4 of the inexpensive bread since each loaf costs $1. Second, you could buy 2 of the average bread loaves since those loaves cost $2 each. Last, you could buy one gourmet loaf of bread because you would spend your entire $4 on this loaf. There is another combination, but it would not follow the factors of 4.
You pick a clover which has four petals. You grab an equal amount of petals twice, so how many times did you grab at the petals?
This would use division as a part of the factors of 4. Since there is not a remainder, you are grabbing an equal number of petals. You grab twice at the petals, and there are four petals, so four divided by 2 is 2.
There are four moving men. After a long day of moving, there are four small boxes left. At this point, any of the men may take a break now and carry no boxes, but the remaining men must carry the same amount of boxes. Use the factors of 4 to help you figure out the ways that this could happen.
There are three ways. One man could carry all four boxes, and the other three men take a break and carry no boxes. Two men take a break, and two men carry two boxes. No one takes a break, and each man carries one box each.
There are 4 kings in a deck of cards. You deal out the 4 kings to each of the 4 players at the table. How many kings does each player get? Use the factors of 4 and division to figure out the answer.
In this case, there are 4 players and 4 kings. So, 4 divided by 4 is 1. Each of the four players gets 1 king card.
You have a flat tire on your car, and you take your car into the mechanic. Sometimes, a pair of tires is replaced at one time. What 2 options might you have when it comes to buying tires if you want to save money?
You could buy the pair, 2, or just replace the one flat tire on your car. Buying all four tires would not be the best option since it would cost the most money.
There are 3 factors for the number 4. These factors are 1, 2, and 4 because 1 times 4 equals 4, and 2 times 2 equals four. Three is not a factor for 4 because 4 is not evenly divisible by 3. Factors for a number are only the numbers that are equal to that number or less.
To find the factors for 4, find the numbers that can divide evenly into 4 without having a remainder. These numbers will be less than the number 4. The factors will always include 1 and itself.
Factoring is used when you are dividing without having a remainder. Think of all the things that come in fours. These could be tires on a car, 4 bridge players, a band, seasons, and face cards.
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