Page 24 - Math Smart - 7

Summary of the tests for divisibility

In your investigation, you discovered some tests for divisibility. The division hints
box below summarises the divisibility tests.

Division Hints

When the last three digits are
When a number is even and ends
in 0, 2, 4, 6 or 8.
Example: 144 is divisible by 2
since the last digit is 4.
The n"'"':'®'.^°''5^®a''ndV52% 8 = 69
three digits is 552 and

When the sum of its digits is
divisible by 3.
Example: 144' 1+4 + 4 = 9
3nd9canbe divided by 3 When the sum of its digits is divisible
without a remainder. by 9.
Example: 144 is divisible by 9 since
the sum of its digits is divisible by 9.
1+4+4=9

A number is divisible by 4 iUbe
last two digits are divisible by 4.
Example; 2144 is divisible by 4
since 44 is divisible by 4.

When the number is divisible by 5 or
end in 0 or 5.
Example: 695 Is divisible by 5 since
the last digit is 5.
690 is divisible by 5 since the last
digit is 0.
A number Is divisible by 100 if its
last two digits are 00.
Example; 34 500 is divisible by 100
since the last two digits are 00.

UNIT 1 Factors, Multiples and Primes