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LESSON 5: DIVISIBILITY
RULES FOR 4, 8, 11,
AND 12
MR. ALPHE ZARRIZ
Here are the divisibility rules for
1)Divisibility by 4
A whole number is divisible by 4 if the last
Two digit of a number can be divided by 4 without
remainder or the last two digit are zeros.
Example:
The number 764 is divisible by 4 because the last two
digits is 64 and can be divided by 4 without remainder.
Here are the divisibility rules for
2) Divisibility by 8
A whole number is divisible by 8 if the last 3 digit can
be divided by 8 without remainder or the last three digits
are zeros.
Example:
The number79 528 is divisible by 8 because the last
three digit is 528 and it can be divided by 8 without
remainder.
Here are the divisibility rules for
3) Divisibility by 12
A whole number is divisible by 12 if it is divisible by 3
and 4.
Example:
The number 5 364 is divisible by 12. The sum of
5+3+6+4 = 18 which is divisible by 3 and the last two digits,
is 64 which it is divisible by 4.
Here are the divisibility rules for
4) Divisibility by 11
to check the number is divisible by 11, add the
alternating digits of the number, that is the sum of the
digits in the odd position and even position of the
number from left to right.
if their difference is 0, or can be divided by 11
without remainder then the number is divisible by 11.
Example:
7073
7 0 7 3
7+7 = 14 0+3 = 3
add the alternating digits of
the number
subtract
14 – 3 = 11
11 ÷11 = 1 Divisible by 11, no remainder.
Remember✨
 A whole number is divisible by 4 if the last wo digit of a
number can be divided by 4 without remainder or the last two
digit are zeros.
 A whole number is divisible by 8 if the last 3 digit can be
divided by 8 without remainder or the last three digits are
zeros.
✨
Remember✨
 A whole number is divisible by 12 if it is divisible by 3 and 4.
 to check the number is divisible by 11, add the alternating digits of
the number, that is the sum of the digits in the odd position and
even position of the number from left to right. if their difference is
0, or can be divided by 11 without remainder then the number is
divisible by 11.
GOODBYE AND THANKYOU
💞

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Lesson 5. divisibility by 4,8,11 and 12

  • 1. LESSON 5: DIVISIBILITY RULES FOR 4, 8, 11, AND 12 MR. ALPHE ZARRIZ
  • 2. Here are the divisibility rules for 1)Divisibility by 4 A whole number is divisible by 4 if the last Two digit of a number can be divided by 4 without remainder or the last two digit are zeros. Example: The number 764 is divisible by 4 because the last two digits is 64 and can be divided by 4 without remainder.
  • 3. Here are the divisibility rules for 2) Divisibility by 8 A whole number is divisible by 8 if the last 3 digit can be divided by 8 without remainder or the last three digits are zeros. Example: The number79 528 is divisible by 8 because the last three digit is 528 and it can be divided by 8 without remainder.
  • 4. Here are the divisibility rules for 3) Divisibility by 12 A whole number is divisible by 12 if it is divisible by 3 and 4. Example: The number 5 364 is divisible by 12. The sum of 5+3+6+4 = 18 which is divisible by 3 and the last two digits, is 64 which it is divisible by 4.
  • 5. Here are the divisibility rules for 4) Divisibility by 11 to check the number is divisible by 11, add the alternating digits of the number, that is the sum of the digits in the odd position and even position of the number from left to right. if their difference is 0, or can be divided by 11 without remainder then the number is divisible by 11.
  • 6. Example: 7073 7 0 7 3 7+7 = 14 0+3 = 3 add the alternating digits of the number subtract 14 – 3 = 11 11 ÷11 = 1 Divisible by 11, no remainder.
  • 7. Remember✨  A whole number is divisible by 4 if the last wo digit of a number can be divided by 4 without remainder or the last two digit are zeros.  A whole number is divisible by 8 if the last 3 digit can be divided by 8 without remainder or the last three digits are zeros. ✨
  • 8. Remember✨  A whole number is divisible by 12 if it is divisible by 3 and 4.  to check the number is divisible by 11, add the alternating digits of the number, that is the sum of the digits in the odd position and even position of the number from left to right. if their difference is 0, or can be divided by 11 without remainder then the number is divisible by 11.