Divisibility rules

W
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
Divisibility Rule
          2
A number is divisible by 2 if the
 last digit is even. (0, 2, 4, 6, 8)

Examples:                  78    347 0


Review Even numbers: ghosteven
Now You
    Try:
     Which number IS NOT divisible by 2?

572               1464                       249


Need More Practice: Numbers Divisible by 2
WONDERFUL
It ends in a 0, 2,
    4, 6, or 8.
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
Now You
    Try:
     Which number IS NOT divisible by 3?

572               1464                       279


Need More Practice: Numbers Divisible by 3
The sum is
divisible by 3.
WONDERFUL
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
Now You
    Try:
     Which number IS NOT divisible by 4?

564               4101                       188


Need More Practice: Numbers Divisible by 4
WONDERFUL
The last 2 digits are
   divisible by 4.
Divisibility Rule
5
 A number is divisible by 5 if the last
  digit is a 0 or 5.

 Examples:
    615        ends in a 5

     1480      ends on a 0
Now You Try:
Which number IS NOT divisible by 5?

9820                779                  560



Need More Practice: Numbers Divisible by 5
The number ends in a
   zero or a five.
Wonderful
Divisibility Rule
                        6when it is divisible by
A number is divisible by 6
  2 AND 3. (prime numbers)

Examples:
    408 ends in an even number (2 rule)
        sum of the digits is divisible by 3

Review prime and composite numbers: Prime and Composite Numbers
Now You Try:
Which number IS NOT divisible by 6?


8700                  523                    7602


Need more practice? Numbers Divisible by 6
Way To Go!!
This number is divisible
      by 2 and 3.
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
Now You Try:
Find the number that IS NOT divisible by
  9.


9873                  636                    5541



Need More Practice: Numbers Divisible by 9 and 10
The sum of the digits is
     divisible by 9.
Great Job!!!
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
Now You Try:
Find the number that IS NOT divisible by
  ten.
56,920           7537             870
The number ends in a
      ZERO.
Way To Go!!
Congratulations!
Complete two of the three assignments.
  You may complete them on your
  computers but print out your answer
  sheet.
Assignment 1.doc
chart.doc
assignment3.doc
CONGRATULATIONS ON
HAVING ACHIEVED THIS
        AIM.
1 von 33

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Divisibility rules