Divisibility Rules
Will there be a remainder?
782 / 5
Yes
62/4
362 / 4 =
90 R2
1917 / 3 =
180 / 3 = 60
Kenny rode his bike for a total of 50 miles in the past 5 days. He rode the same distance every day. How many miles did Kenny bike each day?
10 miles
Will there be a remainder? What is the rule?
1,092 / 3 =
No remainder.
Add digits in dividend
79 / 9 =
8 r. 7
1,365 / 2 =
682 r. 1
5646 / 6 =
5400 / 6 = 900
The Good Cheer food drive collected 320 cans of food. This food is going to 4 families. How many cans of food will each family get? Will there be any leftover cans?
80 cans per family; no leftovers
Remainder? What is the rule?
910 / 10
Number must end in zero.
802 / 8 =
100 r. 1
2,184 / 3 =
728
3376 / 4 =
3200 / 4 = 800
The library has 783 chairs and 9 large shelves. If the same number of books is placed at each shelf, how many books can be placed at each shelf? Will there be any extra chairs? If so, how many?
87 books
Remainder? What is the rule?
516 / 4 =
No remainder.
Last two digits must be divisible by 4.
91/7 =
13
6439 / 5 =
1287 r. 4
6921 / 9 =
7200 / 9 = 80
Seven hundred fourteen students are going on a field trip. The students are divided into groups of 6 students. How many groups of 6 students will there be?
119 groups of six
Remainder? What is the rule?
7,239 / 6
yes, a remainder.
Divisible by 2 and rules of divisibility for 3 (add digits of dividend)
265 / 5 =
53
5,991 / 7 =
855 r. 6
1585 / 5 =
1500 / 5 = 300
An office building has 408 worker. They can put two workers in each office. How many offices will this office building use?
204 offices