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Divisibility Rules 2 3 4 5 6 9 10
What does it mean? "Divisible by . . ."
If  you divide one number by another, the result is a whole number  WITHOUT  a remainder. Examples: 21  ÷ 7 = 3  No remainder 56 ÷ 2 = 28  No remainder   "Divisible by" means . . .
A  number is divisible by 2 if the  last digit is even .  (0, 2, 4, 6, 8) Examples: 6 4 49,82 2 Divisibility Rule for 2
Which number  IS NOT  divisible by 2? 684 2788 103 Now, You Try!
Wonderful !
It ends in a O, 2, 4, 6 or 8
A number is divisible by three if the  sum of the digits  is divisible by 3. Examples: 81  8 + 1 = 9  9  ÷  3  = 3 No Remainder 231  2 + 3 + 1 = 6  6 ÷  3  = 2  No Remainder Divisibility Rule for 3
Which number  IS NOT  divisible by 3? 642 1644 729 Now, You Try
The sum is divisible by 3
Wonderful !
A number is divisible by 4 if the  last two digits form a number  that is divisible by 4. Examples: 38 20 20  ÷ 4 = 5 6 72 72 ÷ 4 = 18 Divisibility Rule for 4
Which number  IS NOT  divisible by 4? 112 5610 488 Now You Try
Wonderful !
The last 2 digits form a number  divisible by 4
A number is divisible by 5 if the  last digit is a 0 or 5 . Examples: 32 5 ends in a 5 347 0 ends on a 0 Divisibility Rule for 5
Which number  IS NOT  divisible by 5? 6520   657   465 Now, You Try
The number ends in  0 or 5
Wonderful !
A  number is divisible by 6 when it is  divisible by 2  AND  3 . (prime numbers) Examples: 204 ends in an even number (2 rule) sum of the digits is divisible by 3 Divisibility Rule for 6
Which number  IS NOT  divisible by 6? 7800 427   5502 Now, You Try
Way To Go !
This number is divisible  by 2 and 3
A number is divisible by 9 if the sum of the digits is divisible by 9. Examples: 351  3 + 5 + 1 = 9  9  ÷ 9 = 1 3555  4 + 5 + 5 + 5 =18  18 ÷ 9 =2 Divisibility Rule for 9
Find the number that  IS NOT  divisible by 9. 9873 693 5541 Now, You Try
The sum of the digits  is divisible by 9
Great Job !
A  number is divisible by 10 is it ends in a ZERO. Example: 456 0 ends in a zero   431 0 ends in a zero Divisibility Rule for 10
Find the number that  IS   NOT  divisible   by ten. 47,870   5892   458 Now, You Try
The number ends in 0
Way To Go !
Grab a piece of paper and check how well you know the rules. Try It Out 456  –  2  3  4  5  6  9  10 801  –  2  3  4  5  6  9  10 55,602  –  2  3  4  5  6  9  10 51  –  2  3  4  5  6  9  10 381  –  2  3  4  5  6  9  10
Grab a piece of paper and check how well you know the rules. Try It Out 456  –  2  3  4  5  6  9  10 801  –  2  3  4  5  6  9  10 55,602  –  2  3  4  5  6  9  10 51  –  2  3  4  5  6  9  10 381  –  2  3  4  5  6  9  10