Which of these numbers are divisible by 6 ?

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

12453

23498

56821

78324

answer is D.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

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