# Question #d1d14

Mar 16, 2017

This is true, and the answers to questions above are:
Q4 - yes
Q5 - no
Q6 - yes

#### Explanation:

There are lots of divisibility rules. They're basically shortcuts for working out if you can divide by a number with no remainders leftover. Another example is that a number has to be even to be divisible by 2. Other examples of divisibility rules can be seen by clicking here.

In the question above, you are told the divisibility rule for 4 - if the last two digits of a number are divisible by 4, then the entire number is divisible by 4.

$\textcolor{red}{\text{QUESTION FOUR (ABOVE)}}$

The first question asks is 624 divisible by 4?

Using the rule given, you just need to focus on the last two digits - that is "24" and decide if that is divisible by 4.

The answer is yes, as $6 \times 4 = 24$.

Because 24 is divisible by 4, this means that 624 is divisible by 4 (with no remainders).

In fact, any number at all that ends in 24 (because of this rule you have been given) will be divisible by 4.

$\textcolor{red}{\text{QUESTION FIVE (ABOVE)}}$

Is 634 divisible by 4?

As before, look at the last two digits and determine if they're divisible by 4 (with no remainders).

$\frac{34}{4} = 8$ remainder $2$.

As 34 is not divisible by 4, this means that 634 is not divisible by 4.

$\textcolor{red}{\text{QUESTION SIX (ABOVE)}}$

Is 172 divisible by 4?

As before, look at the last two digits and determine if they're divisible by 4 (with no remainders).

$\frac{72}{4} = 18$

As 72 is divisible by 4, this means that 172 is divisible by 4.