Divisibility Rules

Tuesday, Sept. 29, 2015
(1) Come in and get your journal and
sharpened pencil.
(2) Complete the Bell Ringer questions 1-4.
When finished, hold on to it! We will
pass them forward in a few minutes
2, 3, 4, 5, 6, 9, 10
“Divisible By”
What does it mean?
“Divisible by” means:
If you divide one number by another, the result is a
whole number WITHOUT a remainder.
Examples:
12 ÷ 6 = 2 No remainder
15 ÷ 5 = 3 No remainder
Vocabulary Review:
Dividend:
Divisor:
Quotient: The answer to a division problem 
Divisibility Rule 2
A number is divisible by 2 if the
last digit is even. (0, 2, 4, 6, 8)
Examples:
78
3470
Divisibility Rule 3
A number is divisible by three if the sum
of the digits is divisible by 3.
Examples:
75
7 + 5 = 12 12 ÷ 3 = 4 No Remainder
369 3 +6 + 9 = 18
18 ÷ 3 = 6 No Remainder
Divisibility Rule 4
A number is divisible by 4 if the last two digits
are divisible by 4.
Examples:
1320
20 ÷ 4 = 5
672
72 ÷ 4 = 18
Divisibility Rule 5
A number is divisible by 5 if the last
digit is a 0 or 5.
Examples:
615
1480
ends in a 5
ends on a 0
Divisibility Rule 6
A number is divisible by 6 when it is
divisible by 2 AND 3.
Examples:
408 ends in an even number (2 rule)
sum of the digits is divisible by 3
Divisibility Rule 8
A number is divisible by 8 if its last three digits form
a number that is divisible by 8.
Example:
91,104
104 ÷ 8 = 13
104 is divisible by 8.
Then 91, 104 is divisible by 8.
Divisibility Rule 9
A number is divisible by 9 if the sum of the
digits is divisible by 9.
Examples:
963 9 + 6 + 3 = 18 18 ÷ 9 = 2
5445 5 + 4 + 4 + 5 =18 18 ÷ 9 =2
Divisibility Rule 10
A number is divisible by 10 is it ends in a ZERO.
Example:
7630
ends in a zero
410
ends in a zero
Divisibility Rules Review

2, the last digit will be an even number.

3, the sum of the digits is divisible by 3.

4, the number made by the last two digits can be
divided by 4

5, the last digit will be a 5 or 0
Divisibility Rules Review

6, the number is divisible by 2 & 3.

8, the number made by the last three digits will be
divisible by 8

9, the sum of the digits will be divisible by 9.

10, the last digit will be a 0.
Now You Try:
Which number IS NOT divisible by 2?
572
1464
249
Now You Try:
Which number IS NOT divisible by 3?
572
1464
279
Now You Try:
Which number IS NOT divisible by 4?
564
4101
188
Now You Try:
Which number IS NOT divisible by 5?
9820
779
560
Now You Try:
Which number IS NOT divisible by 6?
8700
523
7602
Now You Try:
Which number IS NOT divisible by 8?
8800
523
7600
Now You Try:
Find the number that IS NOT divisible by 9.
9873
636
5541
Now You Try:
Find the number that IS NOT divisible by ten.
56,920
7537
870
With a partner:
Write a number that is divisible by:
1
 2
 3
 4
 5
 6
 9
 10

With a
Partner: