Question

Determine if 67344 is divisible by 24 using divisibility rules.​

Answer 1

Answer:

Yes

Step-by-step explanation:

Divisibility rule of 24 is that the value has to be divisible by both 3 and 8

Now,6+7+3+4+4= 24 is divisible by 3

And, Units digit is 4 which is divisible by 2 and 8

Thus 67344 is divisible by 24

Checking ( 67344/24 = 2806) Hence proved.

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Answer 2

Answer:

The number $67344$ is divisible by $24$.

Step-by-step explanation:

Given : The number is $67344$.

To find : Whether the given number is divisible by $24$ or not.

Solution :

• The given number is  $67344$.
• We have to find out that whether the given number is divisible by  $24$ or not.
• For this we have to use the divisibility test.
• Here, the divisor is  $24$.
• We know that $24=4*6$
• We have the divisibility property of $4$ as ' in any number, if the last two numbers are divisible by $4$ , then the whole number is divisible by $4$.
• Here, in  $67344$., last two digits forms the number, $44$ and  

      $\frac{44}{4} = 11$

• Now, divisibility  property of $6$ says that if the number is divisible by $2$ and $3$  both then the number is divisible by $6$ also.

• Here, $\frac{67344}{2} = 33672$

      and $\frac{67344}{8} = 22448$$\frac{67344}{3} =22448$

• The given number $67344$ satisfies the divisible properties of $4$ and $6$.
• ∴ $\frac{67344}{24} = 8418$
• Hence, the number $67344$ is divisible by $24$.