Download Divisibility Tests for Natural Numbers

Divisibility Tests for Natural Numbers.
Number
Divisibility Test
2
If the last digit is 0 or
even, then the number is
divisible by 2.
If the sum of the digits is
divisible by 3, then the
number is divisible by 3.
If the number formed by
the last two digits is
divisible by 4, then the
original number is divisible
by 4.
If the last digit is 0 or 5,
the number is divisible by 5.
3
4
5
6
9
10
Your try.
Choose 3 numbers and test.
Use your calculator to check
your tests.
If the number is divisible
by 2 and 3, then the
number is divisible by 6.
If the sum of the digits is
divisible by 9, then the n
umber is divisible by 9.
If the number ends in a 0
then the number is divisible
by 10.
Test for divisibility by 3: a. 846
b. 2618
a. The sum of the digits of 846 is 8 + 4 + 6 = 18
Since 18 is divisible by 3, so is 846.
b. The sum of the digits 2618 is 2 + 6 + 1 + 8 = 17
Since 17 is not divisible by 3 then 1618 is not divisible by 3.
Leanne Vinci North Fremantle Primary School
Number
81
154
252
3624
8185
9908
Divisibility by 4 (yes/no)
Last 2 digits
Fill in the second column using your calculator or simple division.
Then fill in the third column by writing down the last two digits
of each number.
Copy and complete in your maths book:
A natural number is divisible by 4 if
…………………………………………………………………………………………………………………
Number
81
154
252
3624
8185
9908
Divisibility by 9 (yes/no)
Sum of its digits
8 + 1 =9
Copy and complete in your maths book:
A natural number is divisible by 9 if
…………………………………………………………………………………………………………………
Leanne Vinci North Fremantle Primary School
Circle true or false to answer the following:
a) 26 is divisible by 2
true
false
b) 5221 is divisible by 5
true
false
c) 127 is divisible by 3
true
false
d) 1010 is divisible by 10
true
false
e) 1900 is divisible by 4
true
false
f) 1326 is divisible by 3
true
false
g) 111 is divisible by 2
true
false
h) 166 is divisible by 9
true
false
i) 9288 is divisible by 9
true
false
Circle which of the following are divisible by 3:
87
512
977
1002
56 947
Determine whether the following are divisible by 4:
2 250
1 024
30 420
215 962
Y or N
Y or N
Y or N
Y or N
Test the following numbers for divisibility by 2, 3, 4, 5 and 9.
Show how you did this in your book.
250
3 609
Leanne Vinci North Fremantle Primary School
12 345
14 641