Introduction:
An unknown amount of people will be visiting the visitor center near the state border. To welcome the visitors, the center provides juice to its visitors. The jugs of juice come in 64 ounces. So, many jugs are bought and refrigerated for future use. The procedure for the visitor center is for the visitor center’s employee to pour all of the juice from one jug into cups and display the cups on the front counter. After the cups are all gone, a second jug may be open. However, all of the cups must be used first.
The employee opens that jug and needs to figure out how many cups he should display in a pattern on the front counter. The employee sets out 8 cups on the front counter. How many fluid ounces will you fill in each cup? Use the factors of 64 to find your answer.
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Factors of 64 are 1, 2, 4, 8, 16, 32 and 64
Number 64 has quite a few factors mainly because it is an even number. A way to find the factors of 64 would be to list all the numbers from 1-64 like the list below. Then you can be assured that all factors will be included.
If each number can equally divide into 64, then it is a factor of 64. There cannot be a remainder. A calculator may be used. Make a division problem for each one. If there is a remainder for that problem, then it is not a factor. All the other numbers that do equally divide into 64 without remainders would be considered factors of 64. Remember a factor always has a factor partner. When you multiply the factor number and its partner together, you will get the number, 64. Sometimes, a factor’s partner can be itself.
The numbers with a remainder should be removed because they are not factors of 64. You should check each factor by matching it with its factor partner. So, when they are multiplied together, they will equal 64. Below shows the factor number and its partner, which is also a factor of 64.
Challenging Questions
Question 1List the factors of 64
Which positive whole numbers divide 64 without leaving a remainder?
The factors of 64 are 1, 2, 4, 8, 16, 32, 64.
Each listed number divides the original number evenly.
Question 2Find the factor pairs of 64
Which multiplication pairs have a product of 64?
64 has these positive factor pairs: 1 × 64; 2 × 32; 4 × 16; 8 × 8.
Multiplying the two numbers in any pair gives the original number.
Question 3Prime-factorize 64
What is the prime factorization of 64?
64 = 2 × 2 × 2 × 2 × 2 × 2.
Every number in the product is prime.
