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Divisibility Rules

Basic divisibility rules for 2, 3, 4, 5, 6, 9
by

Sean Story

on 11 March 2014

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Transcript of Divisibility Rules

For: 2, 3, 4, 5, 6, 9
Divisibility Rules
The number in the ones place is either 0, 2, 4, 6, or 8.

Every even integer is divisible by 2.
2
If the sum of the digits of a number is 3, 6, or 9, then the number is divisible by 3.
If the number formed by the tens and ones place is divisible by 4 then the entire number is divisible by 4.
If the number in the ones place is a 0 or a 5, then the number is divisible by 5.
If the number is divisible by both 2 and 3, then the number is divisible by 6.
Similar to the rule for 3; however the sum must be divisible by 9.
3
Ex.
Is 27 divisible by 3?
2+7=9, 9 is divisible by 3
27 is divisible by 3
4
5
6
9
Ex.
Is 35 divisible by 3?
3+5=8, 8 is not divisible by 3
35 is not divisible by 3.
Ex.
Is 7,485 divisible by 3?
7+4+8+5=24 if you do not know if 24 is divisible by 3 apply the rule again.
2+4=6, 6 is divisible by 3 so 24 is divisible by 3 and by extension so is 7,485.
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