Divisibility Tests

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Divisibility Tests. How can you tell quickly whether a number can be divided exactly by another?. What does DIVISIBLE mean?. A number is DIVISIBLE by another number if there is no remainder after division .

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Divisibility Tests

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Divisibility Tests

How can you tell quickly whether a number can be divided exactly by another?

What does DIVISIBLE mean?

A number is DIVISIBLE by another number

if there is no remainder after division.

The result after division is a whole number and the remainder is zero.

eg 36 divided by 12 is 3, so we say

“36 is divisible by 12”

DIVISIBILITY TESTS

Divisibility by 2:

Numbers that end in 0, 2, 4, 6 or 8 can be

divided exactly by 2.

They are said to be divisible by 2, and are also

called EVEN numbers.

Numbers that are not even are called ODD.

DIVISIBILITY TESTS

Divisibility by 3:

To test for divisibility by 3 (without actually

doing the division),

and if the sum is divisible by 3, then the

original number is too.

This is a “divisibility test for 3”.

DIVISIBILITY TESTS

Divisibility by 4:

A number is divisible by 4 if its last two digits

can be divided by 4.

Can you explain why this is so?

DIVISIBILITY TESTS

Divisibility by 5:

How can you tell by looking at a whole number

if it can be divided by 5?

State a “divisibility test for 5”.

DIVISIBILITY TESTS

Divisibility by 6:

A number that can be divided by 6 needs to be

able to be divided by both 2 and 3.

Now state a “divisibility test for 6”.

DIVISIBILITY TESTS

Divisibility by 11 and others:

Find out about other “divisibility” tests

– egby 11.

DIVISIBILITY TESTS

Let’s test a number eg 120

2? Yes, because it ends in 0, so is even

3? Yes, because 1 + 2 + 3 = 6, which of course

is divisible by 3!

4? Yes, because 20 can be divided by 4

5? Yes, because it ends in 5 or 0.

6? Yes, because it can be divided by 2 and

by 3.

divisibility by 2, 3, 4, 5, and 6.

Remember some may be divisible by more than

one of these numbers and some may not be

divisible by any of them!

240 27 256 81

711 400111

• 9123 108

50 343180