Divisibility Rules
Use the divisibility rules to determine whether the number is divisible by 2, 3, 5, 6, 9, 10.
Number: 1044
2,3,6,9
GCF of 9 and 15
3
LCM of 3 and 8
24
You are creating identical picnic baskets using 30 sandwiches and 42 cookies. What is the greatest number of baskets that you can fill using all of the food? Use labels when stating your answer.
6 baskets
Use the divisibility rules to determine whether the number is divisible by 2, 3, 5, 6, 9, 10.
Number: 1485
3, 5, 9
GCF of 40 and 56
8
LCM of 8 and 14
56
You have 52 inches of yellow ribbon and 64 inches of red ribbon. You want to cut the ribbons into pieces of equal length with no leftovers. What is the greatest length of pieces that you can make? Use labels when stating your answers.
4 inches
Use the divisibility rules to determine whether the number is divisible by 2, 3, 5, 6, 9, 10
Number: 15
3 and 5
GCF of 8 and 28
4
LCM of 8 and 20
40
You have piano lessons every 4th day and guitar lessons every 6th day. Today you have both lessons. In how many days will you have both lessons on the same day again? Use labels when stating your answer.
12 days
Use divisibility rules to determine whether the number is divisible by 2,3,5,6,9,10
2,3,5,6,9,10 (all of them!)
GCF of 30, 60, and 78
6
LCM of 14 and 20
140
Hamburgers come in packs of 20, while buns come in packs of 12. What is the least number of packs you should buy in order to have the same number of hamburgers and buns? Use labels when stating your answer.
3 packs of hamburgers and 5 packs of buns
Use divisibility rules to determine whether the number is divisible by 2,3,5,6,9,10
Number:1709
None. 1709 is a prime number
GCF of 35, 56, and 63
7
LCM of 3, 5, and 11
165
You have 16 yellow beads, 20 red beads, and 24 orange beads to make identical bracelets. What is the greatest number of bracelets that you can make using all of the beads with no leftovers? Use labels when stating your answer.
4 bracelets