Arrays
Factors
Multiples
Prime, Composite, and Square Numbers
Multiplicative Comparison
100
How many trucks are in this array?
12
100
Name all the factors of 10
1, 2, 5, 10
100
Name the first 5 multiples of 2
2, 4, 6, 8, 10
100
How do you know if a number is prime?
A number is prime if it has only two factors 1 and itself (or can only make one unique array--turning the first array doesn’t count as two unique arrays)
100
Edwardo picked 6 apples. Nathalie picked 7 times as many apples. How many apples did Nathalie pick?
Nathalie picked 42 apples ( 6 x 7 = 42)
200
6 x 4
200
Name 1 factor pair of 45
1 & 45
3 & 15
5 & 9
200
Is 20 a multiple of 6? How do you know?
No, because 6x1=6, 6x2= 12, 6x3=18, 6x4=24
No number times 6 gives you 20.
200
Name a composite number over 20 and explain how you know it’s composite.
A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor other than 1 and itself.
200
Dominic is 5 ft tall. A tree in Dominic’s yard is 35 ft tall. The tree is how many times as tall as Dominic?
5 x 7 = 35 so the tree is 7x as tall as Helena
300
30
300
Are all of the factors of 12 also factors of 24? How do you know?
Yes, The multiples of any number share all of its factors (e.g. all of the factors of 4 are also factors of 16)
300
What is the 6th multiple of 4?
Start with the number 4.
Starting with the number 4 it would be 24: 4, 8, 12, 16, 20, 24 or 4 x 6 = 24
300
Look at the arrays below and determine if the number they all represent is: prime, composite, or a square number
The answer is technically square (even though it’s also composite) because one of the arrays is a square (the factor is multiplied by itself or repeated)
300
Ian picked 7 yellow roses and 28 red roses. How many times as many red roses did Ian pick than yellow roses?
Andrew picked 4 times as many red roses as/than yellow roses
400
What is it called when you represent multiplication and division using rows and columns.
An array
400
What are common factors of 12 and 16?
1, 2, and 4
(They are common, when they share the same numbers/factors)
400
Are all of the multiples of 9 also multiples of 3? How do you know
Yes! When a number is a factor of another number it shares all of that original number’s multiples. Since 3 is a factor of 9 all of the multiples of 9 are also multiples of 3, but it doesn’t work the other way around because 9 isn’t a factor of 3 so all of it’s multiples aren’t multiples of 3 (for instance 6,15,21,24,30,33,39 are multiples of 3 but not 9)
400
What is the product of a number called when you multiply a number by itself?
Square number (i.e. 3 x3=9, 4x4=16, 5x5=25)
400
Jacob ate 9 slices of pizzas. Fayth ate 8 times as many pizzas. How many slices of pizza did Fayth eat?
9 x 8= 72