Introduction
The Bedford Blushing Bakery Company bakes many items for purchase. However, it is most well-known for their cupcakes. The company sells their cupcakes in groups of 4. Each group of 4 cupcakes costs $5.00 at the bakery.
As the head of the conference committee, it is your job to furnish the afternoon snack. You want to get the cupcakes from this bakery, so you need to know how many to buy. At every committee meeting, the person in charge of getting the snacks for that week usually gets 2 servings for each person just to make sure that everyone has enough snacks to eat. You will need to get 68 cupcakes. How much will you pay for the cupcakes before taxes? Remember you will need to use the factors of 68 to arrive at your answer.
Factors of 68 are 1, 2, 4, 17, 34 and 68
The factors for the number, 68, are only a few. It is an even number, so that includes 2 as a factor. Its factor partner is 34. This means that 2 and 34 are factors of 68. There are only 6 factors.
Find out the factors for sixty-eight. To find out, we will see which numbers 68 or fewer can equally divide into 68. There could be no remainder, or it will not be considered a factor of 68. Let’s go get the factors!
It is always best to make sure that you have all of the factors of a number.
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The cupcake problem requires you to get 68 cupcakes. They come 4 to a pack for $5.00. Using the factors of 68, you need to find 4’s factor partner. That would be 17. So, you need 17 orders. If each order costs $5.00, then you need to multiply 17 times 5 which would be $85.
Challenging Questions
Question 1List the factors of 68
Which positive whole numbers divide 68 without leaving a remainder?
The factors of 68 are 1, 2, 4, 17, 34, 68.
Each listed number divides the original number evenly.
Question 2Find the factor pairs of 68
Which multiplication pairs have a product of 68?
68 has these positive factor pairs: 1 × 68; 2 × 34; 4 × 17.
Multiplying the two numbers in any pair gives the original number.
Question 3Prime-factorize 68
What is the prime factorization of 68?
68 = 2 × 2 × 17.
Every number in the product is prime.
