Which of these numbers are divisible by 6 ?

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12453

23498

56821

78324

answer is D.

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Detailed Solution

Concept- In order to determine whether or not each of these possibilities is divisible by these prime factors, we must first write down the prime factors that make up the number

6

. Then, we will examine the divisibility test of each of those prime factors.
As previously established, we will first list the prime factors of

6 . 6 = 2 \times 3

Consequently, the prime factor

of 6 is 2 and 3 .

We will now examine the test for the divisibility of

2 and 3 .

A number is considered to be divisible by

2

if it is even.
The three-digit test determines whether a number is divisible by three by adding all of its digits; if it is, the given number is also divisible by three.
We will now evaluate each choice individually.
Checking option (1) , 12 is an even integer and is divisible by both 2 and 3 because

1 + 2 = 3 .

No, 453 is not even.
12 is therefore divisible by

6,

but not by

453 .

Option (1) is therefore untrue.
Checking out option (b) , 498 is an even number and is divisible by both 2 and 3 because

4 + 9 + 8 = 21

.
23 isn't even.
Therefore, 498 can be divided by 6 but not by 23.
Option (2) is therefore untrue.
Checking option (c) , 56 is an even integer and is divisible by 2 but not 3 because

5 + 6 = 11 .

It's not even,

821 .

As a result, neither can be divided by 6.
Option (3) is therefore untrue.
Let's examine the choice (4) ,
78 is a divisible number by both 2 and 3, as it is an even number and