Factors & multiples
What is the least common multiple between 5 and 6?
30
Name one prime number between 10 and 20. Explain how you know a number is prime.
11, 13, 17, 19.
I know these numbers are prime because their only factors are 1 and itself. No other numbers divide equally into these numbers.
How are factors related to multiples? Explain, and give an example.
In a multiplication sentence, you multiple two factors together to get a multiple of those factors. 6 (factor) x 8 (factor) = 48 (multiple of both factors)
List a composite number between 1 and 20. Explain how you know it is composite, and list its factors.
Example: 15
15 is composite because it has more than two factors. Its factors are 1, 3, 5, and 15.
A 5×5 square and a 10×1 rectangle have a similar perimeter. Which has the greater area?
5x5 square
A rectangle has a length of 12 meters and a width of 18 meters.
List all the factors of the length.
List all the factors of the width.
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 18: 1, 2, 3, 6, 9, 18
Look at the numbers below:
12, 17, 19, 21, 23, 27
List all the prime numbers.
Add the prime numbers together.
Do they create a prime or composite sum?
17,19,23
59
Prime
You want to put in carpet in a room that is 10 ft by 12 ft. How much carpet do you need if you want to cover the whole space?
120 square feet.
What are the dimensions of the different rectangles you could draw to represent the factors of 24? Make sure to represent the commutative property of multiplication.
1 x 24
24 x 1
6 x 4
4 x 6
12 x 2
2 x 12
8 x 3
3 x 8
16 can be expressed as the sum of two prime numbers. 16 = 11 + 5. Find 2 other numbers greater than 10 and show how they can be expressed as the sum of two prime numbers.
15 = 13 + 2
19 = 17 + 2
13 = 11 + 2
18 = 13 + 5
Ms. Payton built a rectangular sandbox in her backyard. She wants to play in it this weekend. The sandbox has an area of 30 square feet and a perimeter of 26 feet.
What are the dimensions of the sandbox?
10 feet by 3 feet
At the gym, Harry swims every 8 days, runs every 4 days, and cycles every 5 days. If he did all three activities today, in how many days will he do all three activities again on the same day?
He would do all the activities again in 40 days.
Look at the number pattern.
2, 3, 5, 7, 11, 13, 17, ___, 23, 29
Questions:
Describe the pattern in the sequence.
Which number should go in the blank?
The pattern is the prime numbers in order between 1 and 30.
19
Ms. B has a garden that is 37 feet long by 142 feet wide. She wants to build a fence around it to protect it from animals. How much fence does she need to buy?
37 + 37 + 142 + 142 = 358 feet