Divisibility
Check if the number: 99 is divisible by 2, 3, and 6.
99 is divisible by 3, but not 2 or 6.
Find the LCM for 3 and 10.
LCM = 30
3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
10: 10, 20, 30, 40 50
Find the GCF for 10 and 40.
GCF = 10
10 40
1 10 1 40
2 5 2 20
4 10
5 8
List all the prime numbers between 1 and 10.
2, 3, 5, and 7.
On the 10th pack, there will be hot dogs and a Kitkat.
2: 2, 4, 6, 8, 10
5: 5, 10, 15, 20
Check if 128 is divisible by 3, 4, and 6.
128 is divisible by 4, but not 3 or 6.
Find the LCM for 6 and 8.
LCM = 24
6: 6, 12, 18, 24, 30, 36, 42, 48, 54
8: 8, 16, 24, 32, 40, 48, 56
Find the GCF for 18 and 45.
GCF = 9
18 45
1 18 1 45
2 9 3 15
3 6 5 9
List all the prime numbers between 10 and 40.
11, 13, 17, 19, 23, 29, 31, and 37.
I have 40 Skittles and 20 Starburts. I want to hand out all of my candy to students, and give every student the exact same amount of candy. How many students can I give to?
I can give to 20 students. Each student gets 1 Starburst, and 2 Skittles.
This is a GCF question.
Check if 306 is divisible by 4, 6, and 9.
306 is divisible by 6 and 9, but not 4.
Find the LCM for 6 and 9.
LCM = 18
6: 6, 12, 18, 24, 30, 36, 42, 48
9: 9, 18, 27, 36, 45, 54, 63
Find the GCF for 30 and 45.
GCF = 15
30 45
1 30 1 45
2 15 3 15
3 10 5 9
5 6
Complete prime factorization for 32.
25 or 2 x 2 x 2 x 2 x 2
32
4 8
2 2 2 4
2 2
There are 27 daisies and 39 roses. We need to create identical bouquets, and we want as many as possible. How many can we make?
GCF = 3
We can create 3 bouquets. Each bouquet has 9 daisies and 13 roses.
Check if 555 is divisible by 3, 4, and 5.
555 is divisible by 3 and 5, but not 4.
Find the LCM for 2, 3, and 5.
LCM = 30
2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30
3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39
5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55
Find the GCF for 15, 30, and 75.
GCF = 15
15 30 75
1 15 1 30 1 75
3 5 2 15 3 25
3 10 5 15
5 6
Complete prime factorization for 45.
32 x 5 or 3 x 3 x 5
45
5 9
3 3
Every 9 days, Mr. V washes his truck. Every 6 days, he fills up with gas. How many days until he fills up with gas and washes his car on the same day?
LCM = 18
On day 18, Mr. V washes his truck and fills up with gas on the same day.
Check if 2088 is divisible by 4, 6, and 9.
2088 is divisible by 4, 6, and 9.
Find the LCM for 4, 5, and 8.
LCM = 40
4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44
5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55
8: 8, 16, 24, 32, 40, 48, 56, 64, 72
Find the GCF for 60, 80, and 90.
GCF = 10
60 80 90
1 60 1 80 1 90
2 30 2 40 2 45
3 20 4 20 3 30
4 15 5 16 5 18
5 12 8 10 6 15
6 10 9 10
Complete prime factorization for 48.
24 x 3 or 2 x 2 x 2 x 2 x 3
48
2 24
4 6
2 2 2 3
A server at a restaurant gets their paycheque every 2 weeks. Every 7 weeks, they receive their cash tips. How many weeks until they get their paycheque and tips on the same day?
On week 14, they'll get their tips and paycheque on the same day.
LCM = 14