Factors & Multiples
What is the GCF for 16 and 24?
16: 1, 2, 4, 8, 16
24: 1, 2, 3, 4, 6, 8, 12, 24
GCF: 8
Define prime number.
A number with only 2 factors; 1 and itself.
Write the following power in expanded and standard form.
35
Expanded form: 3 x 3 x 3 x 3 x 3
Standard Form: 243
Multiply and show your steps!
453 x 15
453 x 15 = 6795
What is the square root of 16?
4
Because... 4 x 4 = 16 and you can make a square with dimensions 4 x 4!
What is the LCM for 4 and 7?
4- 4, 8, 12, 16, 20, 24, 28
7- 7, 14, 21, 28
LCM = 28
Define Composite Number.
A number with 3 or more factors.
Write the following in Exponent and Standard Form.
6 x 6 x 6 x 6
Exponent Form: 64
Standard Form: 1296
Divide 243 by 13.
Show your work and follow D, M, S, B, R!
Is 64 a square number?
Why or why not?
YES, because 8 x 8 = 64 and you can make a square with the dimensions 8 x 8.
A number has more multiples than factors.
True or False?
True! Multiples go on forever, but there are only a certain number of factors that each number has.
Which of the following numbers are PRIME?
27 49 33 28 11
11 is the only prime number.
Write the following in Expanded and Exponent Form.
25
Expanded Form: 5 x 5
Exponent Form: 52
In the thanksgiving season, each family is encouraged to bring 12 canned goods for the church to donate. This year, 295 families participated.
How many cans were donated in total?
295 x 12 = 3540
Write the notation to show a square number and its square root.
**Many possible answers
Find 3 common multiples for 6 and 9.
6- 6, 12, 18, 24, 30, 36, 42, 48, 54
9- 9, 18, 27, 36, 45, 54
Common multiples - 18, 36, 54
Which of the following numbers are COMPOSITE?
35 46 53 56 91
35, 46, 56 are composite numbers.
The base of the power is 7.
In standard form, this power represents 16 807.
What is the exponent form?
75
There are 784 students at Loyola High School and 28 classes. How many students are in each class?
784/28 = 28
There are 28 students in each class.
Write the notation to show a square number and its square root.
***Many possible answers
If we know 9 x 2 = 18.
Which of the following are true?
A) 9 is a factor of 18.
B) 18 is a factor of 9.
C) 18 is a multiple of 2.
D) 2 is a factor of 18.
True:
A) 9 is a factor of 18
C) 18 is a multiple of 2
D) 2 is a factor of 18
What is the only prime number that is an EVEN number?
2
The only factors of 2 are 1 x 2 which means it only have 2 factors making it prime!
The exponent is 4.
In standard form, this power represents 81.
What is the base?
Base = 3
Exponent Form- 34
How can we use multiplication to check if our division answers are correct?
Multiply the quotient by the divisor and add the remainder! You should get the Dividend.
Show how exponents and square roots can be related.
You can use an example if it helps!
***Many possible answers