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Divisibility Rules
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Divisibility rules help you find...?
 
factors
 
sums
 
differences
Which numbers are divisible by 5?
 
All of the above
 
45,685
 
275,453,655
 
432,090
Is 532,685 divisible by 5?
 
YES
 
NO
Is 456,300,325,363 divisible by 2?
 
NO
 
YES
Is 222,111 divisible by 3? (Add = 9)
 
YES
 
NO
222,112 divisible by 3? (Add=10)
 
NO
 
YES
Is 222,312 divisible by 3? (Add=12)
 
YES
 
NO
Is 564,790 divisible by 5?
 
YES
 
NO
Is 845,010 divisible by 5?
 
YES
 
NO
Is 744,299 divisible by 5?
 
NO
 
YES
Is 345 divisible by 3? (Add =12)
 
YES
 
NO
Is 131,121 divisible by 9? (Add = 9)
 
YES
 
NO
Is 345,720 divisible by 4?
 
YES
 
NO
Is 112,311 divisible by 6?
 
NO
 
YES
Is 56,432 divisible by 2?
 
YES
 
NO
Is 3,213 divisible by 9? (Add = 9)
 
YES
 
NO
Is 346,000 divisible by 4?
 
YES
 
NO
Is 642 divisible by 6? (Add = 12)
 
YES
 
NO
A number is divisible by 4 if.......
 
the last two digits are divisible by 4 or ends in 00
 
the sum of the digits equals 4
 
the digits add up to a number ending in 4
 
the rules of 2 & 3 apply
Is 643 divisible by 6? (Add=13)
 
NO
 
YES
A number is divisible by 3 if.......
 
if you add up all of the digits in the number and it is divisible by 3
 
It ends in 1,3,5,7,9
 
It is ODD
 
The last 2 digits are divisible by 3
A number is divisible by 6 if.........?
 
If the number is divisible by both 2 and 3
 
the rules of 3 & 4 apply
 
the rules of 1 & 2 apply
 
the rules of 5 & 6 apply
The divisibility rule of 9 states:
 
if you add up all of the digits in the number and it is divisible by 9
 
add the last 2 numbers and divide by 3
 
if the last 2 digits are divisible by 3
 
if you add up all of the digits in the number and that number is 9
A number is divisible by 10 if.........
 
The number ends in 0
 
The number ends in 0 or 5
 
The number is EVEN
 
The number is ODD
Is there a divisibility rule for 7?
 
YES
 
NO
A number is divisible by 2 if........
 
If it ends in 0,2,4,6,8
 
It is ODD
 
It ends in 2,4,8,5
 
It ends in 0,3,5,7,9