Monday, August 26
(left side of paper)
Divisibility Patterns
(right side of paper)
Divisibility Patterns
A whole number is divisible by another
number if the remainder is 0.
There are rules to determine divisibility.
Divisibility Patterns
List for 2
2: 2, 4, 6, 8, 10, 12, 14, 16……
Divisibility Patterns
List for 2
2: 2, 4, 6, 8, 10, 12, 14, 16……
Can you create a rule to determine if a number
is divisible by 2?
Divisibility Patterns
List for 2
2: 2, 4, 6, 8, 10, 12, 14, 16……
Can you create a rule to determine if a number
is divisible by 2?
Divisibility Rule of 2: If the last digit is even (0, 2,
4, 6, 8) the entire number is divisible by 2.
Divisibility Patterns
Is the number 45636 divisible by 2?
Divisibility Patterns
Is the number 45636 divisible by 2?
Divisibility Rule of 2: If the last digit is
even (0, 2, 4, 6, 8) the entire number is
divisible by 2.
Since the last digit is even, then the
number is divisible by 2.
Divisibility Patterns
List for 10
10: 20, 30, 40, 50, 60, 70, 80, 90……
Divisibility Patterns
List for 10
10: 20, 30, 40, 50, 60, 70, 80, 90……
Can you create a rule to determine if a number
is divisible by 10?
Divisibility Patterns
List for 10
10: 20, 30, 40, 50, 60, 70, 80, 90……
Can you create a rule to determine if a number
is divisible by 10?
Divisibility Rule of 10: If the last digit is a 0 the
entire number is divisible by 10.
Divisibility Patterns
Is the number 45636 divisible by 10?
Divisibility Patterns
Is the number 45636 divisible by 10?
Divisibility Rule of 10: If the last digit is a 0 the
entire number is divisible by 10.
Since the last digit is not 0, then the number is
not divisible by 10.
Divisibility Patterns
List for 5
5: 5, 10, 15, 20, 25, 30, 35, 40……
Divisibility Patterns
List for 5
5: 5, 10, 15, 20, 25, 30, 35, 40……
Can you create a rule to determine if a number
is divisible by 5?
Divisibility Patterns
List for 5
5: 5, 10, 15, 20, 25, 30, 35, 40……
Can you create a rule to determine if a number
is divisible by 5?
Divisibility Rule of 5: If the last digit is a 5 or 0
the entire number is divisible by 5.
Divisibility Patterns
Is the number 45636 divisible by 5?
Divisibility Patterns
Is the number 45636 divisible by 5?
Divisibility Rule of 5: If the last digit is a
5 or 0 the entire number is divisible by
5.
Since the last digit is NOT a 0 or 5, the
number is not divisible by 5.
Divisibility Patterns
List for 3
3: 3, 6, 9, 12, 15, 18, 21, 24……
Divisibility Patterns
List for 3
3: 3, 6, 9, 12, 15, 18, 21, 24……
Can you create a rule to determine if a number
is divisible by 3?
Divisibility Patterns
Multiples List for 3
3: 3, 6, 9, 12, 15, 18, 21, 24……
Can you create a rule to determine if a number
is divisible by 3?
Divisibility Rule of 3: If the sum of the digits is 3,
6, or 9 the entire number is divisible by 3. If
the sum is more than one digit, add again.
Divisibility Patterns
Is the number 45636 divisible by 3?
Divisibility Patterns
Is the number 45636 divisible by 3?
Divisibility Rule of 3: If the sum of the
digits is 3, 6, or 9 the entire number is
divisible by 3. If the sum is more than
one digit, add again.
4 + 5 + 6 + 3 + 6 = 24
2+4=6
Divisibility Patterns
List for 9
9: 9, 18, 27, 36, 45, 54……
Divisibility Patterns
List for 9
9: 9, 18, 27, 36, 45, 54……
Can you create a rule to determine if a number
is divisible by 9?
Divisibility Patterns
List for 9
9: 9, 18, 27, 36, 45, 54……
Can you create a rule to determine if a number
is divisible by 9?
Divisibility Rule of 9: If the sum of the digits is 9,
the entire number is divisible by 9. If the sum
is more than one, add again.
Divisibility Patterns
Is the number 45636 divisible by 9?
Divisibility Patterns
Is the number 45636 divisible by 9?
Divisibility Rule of 9: If the sum of the digits is
9, the entire number is divisible by 9. If the
sum is more than one, add again.
Since the sum of the digits is 24, and the sum
of that is 6, the number is not divisible by 9.
Divisibility Patterns
List for 4
4: 4, 8, 12, 16, 20, 24……
Divisibility Patterns
List for 4
4: 4, 8, 12, 16, 20, 24……
Can you create a rule to determine if a number
is divisible by 4?
Divisibility Patterns
List for 4
4: 4, 8, 12, 16, 20, 24……
Can you create a rule to determine if a number
is divisible by 4?
Divisibility Rule of 4: If the last two digits are
divisible by 4, the entire number is divisible
by 4. . (Hint-If the last digit is odd, it can
never be divisible by an even number)
Divisibility Patterns
Is the number 45636 divisible by 4?
Divisibility Patterns
Is the number 45636 divisible by 4?
Divisibility Rule of 4: If the last two digits are
divisible by 4, the entire number is divisible
by 4. . (Hint-If the last digit is odd, it can
never be divisible by an even number)
Since 36 is divisible by 4, then 45636 is
divisible by 4.
Divisibility Patterns
List for 6
6: 6, 12, 18, 24, 30, 36……
Divisibility Patterns
List for 6
6: 6, 12, 18, 24, 30, 36……
Can you create a rule to determine if a number
is divisible by 6?
Divisibility Patterns
List for 6
6: 6, 12, 18, 24, 30, 36……
Can you create a rule to determine if a number
is divisible by 6?
Divisibility Rule of 6: If the Divisibility Rule of 2
AND 3 works, the entire number is divisible
by 6.
Divisibility Patterns
Is the number 45636 divisible by 6?
Divisibility Patterns
Is the number 45636 divisible by 6?
Divisibility Rule of 6: If the Divisibility Rule
of 2 AND 3 works, the entire number is
divisible by 6.
Since the last digit is even the number is
divisible by 2. The sum of the digits is 24,
the sum of that is 6. The number is
divisible by 3. 45636 is divisible by 6.
Divisibility Patterns
89
Is this number divisible by 2,3,4,5,6,9,10?
Circle the correct answers.
Divisibility Patterns
89
Is this number divisible by 2,3,4,5,6,9,10?
Circle the correct answers.
None
Divisibility Patterns
478
Is this number divisible by 2,3,4,5,6,9,10?
Circle the correct answers.
Divisibility Patterns
478
Is this number divisible by 2,3,4,5,6,9,10?
478 is divisible by 2.
Circle the correct answers.
Divisibility Patterns
3135
Is this number divisible by 2,3,4,5,6,9,10?
Circle the correct answers.
Divisibility Patterns
3135
Is this number divisible by 2,3,4,5,6,9,10?
3135 is divisible by 3 and 5.
Circle the correct answers.
Divisibility Patterns
14980
Is this number divisible by 2,3,4,5,6,9,10?
Circle the correct answers.
Divisibility Patterns
14980
Is this number divisible by 2,3,4,5,6,9,10?
14980 is divisible by 2, 4, 5, and 10.
Circle the correct answers.
Divisibility Patterns
Divisibility Patterns
In Class –
Review Worksheet #1
Agenda NotesMath Homework
Review Worksheet #2
Due 8-27-2013