LCM
Divisibility Rules
Prime Factorization
What is the GCF?
Word Problems
100
Is 7 a factor of 42?
Yes
100
Is the number 48 divisible by 2, 3, and 5? Why or why not?
NO because it doesn't end in 0 or 5, so it is not divisible by 5.
100
Which number below is prime? A. 39 B. 51 C. 59 D. 93
C. 59
100
What is the GCF of 10 and 35?
GCF = 5
100
Morris High School is setting up chairs for graduation for 300 people. Which of the following will not provide enough seating? A. 10 rows of 30 chairs B. 6 rows of 50 chairs C. 12 rows of 20 chairs D. 5 rows of 60 chairs
C. 12 rows of 20 chairs
200
List the first eight multiples of 7.
7, 14, 21, 28, 35, 42, 49, and 56
200
The number 36 is divisible by 2. What other number(s) is it divisible by? Explain your thought process (define the rules).
3, 6, and 9
200
Write the prime factorization of 81 in exponential notation.
3^4 (3 to the fourth power)
200
What is the GCF of 28 and 70?
GCF = 14
200
The GCF of two numbers is 8. Which of the following could NOT be the two numbers? A. 8 and 16 B. 16 and 32 C. 16 and 24 D. 24 and 32
B. 16 and 32
300
Is 9 a multiple of 54?
No!!! 9 is a FACTOR of 54!!!!
300
How much would you have to ADD to the number 201 to make it divisible by 5?
4
300
Write the prime factorization of 132 in exponential form.
2^2 x 3 x 11 (2 squared times 3 times 11)
300
What is the GCF of 18, 24, and 36?
GCF = 6
300
In class there are 24 students. The teacher is going to put them in groups. Which could NOT be the number in each group? Why or Why Not? A. 12 B. 6 C. 3 D. 9
D. 9: Because 9 is not a factor of 24
400
List all of the factors of 72.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72
400
How much would you have to SUBTRACT from the number 849 to make it divisible by 2, 3, and 5.
9
400
Write the prime factorization for 342 in exponential notation.
2 x 3^2 x 19 --> (2 times 3 squared times 19)
400
What is the GCF of 24, 48, and 84?
GCF = 12
400
Earl has 36 red jelly beans, 48 blue jelly beans, and 72 yellow jelly beans. He wants to divide his jelly beans evenly among his friends. What is the greatest number Earl can use to divide the jelly beans evenly? How many of each color will they receive?
Each of Earl's friends will receive 12 jelly bean. Each friend will receive 3 red jelly beans, 4 blue jelly beans and 6 yellow jelly beans.
500
What is the Least Common Multiple (LCM) for 2,3,5,6,9, and 10?
90
500
How much would you have to add to the number 57 in order for it to be divisible by 6, 9, and 10?
33
500
What number has the exponential notation of 2^2 x 5 x 7 (2 squared times 5 times 7)?
140
500
What is the GCF of 32, 54 and 71
GCF = 1
500
Mrs. Jones has 60 folders, 45 pairs of scissors, and 30 rulers. How many identical groups of school supplies can Mrs. Jones make without having any materials left over?
Mrs. Jones can make 15 identical groups of supplies.