Introduction
On a road trip, the Madison family sees that they have 56 miles more to go to get to their destination. Since their 4-year old and 3-year old are screaming and crying in the car, the parents decide they will sing songs to try to calm them down. They have decided that they will sing a different song for the next 56 miles. For the next few seconds, they each pick out an even number of songs. Mom picks out songs and Dad picks out songs. How many different songs will each Mom and Dad have to pick out if each song lasts 1 minute long? Use the factors of 56 to find out the answer to this troubling situation.
Factors Of 56 In Real Life
First, write down the number 1 and itself because those are automatically factors.
You can write each set of factors in a set of parentheses. This may make it simpler to find all the factors for this number. Next, we see that 56 is an even number, so 2 is a factor for 56. What is its factor partner? It is 28. We will write those down in our parentheses.
For the last part, we need to see what number in between 3 and 27 will divide into 56 equally. We find that numbers 4, 7, 8, and 14 do divide equally into 56 without having any remainders.
So, the Madison family still needs your help. They have not moved yet and need to get on the road to travel the last 56 miles to their destination. You can now use the factors of 56 to figure that out. Since there are two people, Mom and Dad, then you need to find out the factor partner of 2 when the number is 56. In this case, two’s factor partner is 28. So, each person needs to pick out 28 songs each. Good luck!
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Challenge Questions
Question 1List the factors of 56
Which positive whole numbers divide 56 without leaving a remainder?
The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56.
Each listed number divides the original number evenly.
Question 2Find the factor pairs of 56
Which multiplication pairs have a product of 56?
56 has these positive factor pairs: 1 × 56; 2 × 28; 4 × 14; 7 × 8.
Multiplying the two numbers in any pair gives the original number.
Question 3Prime-factorize 56
What is the prime factorization of 56?
56 = 2 × 2 × 2 × 7.
Every number in the product is prime.
