A number is divisible by 6. By what other numbers will that number be ...
To determine the numbers by which a number divisible by 6 will also be divisible, consider the factors of 6:
- Factors of 6 are 2 and 3.
- Therefore, if a number is divisible by 6, it will also be divisible by 2 and 3.
- The correct answer is C: 2 and 3.
View all questions of this test
A number is divisible by 6. By what other numbers will that number be ...
Solution:
To understand the solution, we need to know the divisibility rules of 6.
Divisibility Rule of 6: A number is divisible by 6 if it is divisible by both 2 and 3.
Now, let us consider each option one by one.
a) 3 and 4: If a number is divisible by 3 and 4, it doesn't mean that it is divisible by 6. For example, the number 12 is divisible by 3 and 4, but it is also divisible by 6. However, the number 8 is divisible by 4 but not by 6. Hence, option a) is incorrect.
b) 2 and 5: If a number is divisible by 2 and 5, it doesn't mean that it is divisible by 6. For example, the number 10 is divisible by 2 and 5, but it is not divisible by 6. Hence, option b) is incorrect.
c) 2 and 3: According to the divisibility rule of 6, if a number is divisible by 2 and 3, it is also divisible by 6. Hence, option c) is correct.
d) None of these: Since option c) is correct, option d) is incorrect.
Therefore, the correct option is c) 2 and 3.
A number is divisible by 6. By what other numbers will that number be ...
It is because the disability rule of 6 is that, the number
which is divisible by both 2 and 3 then the whole number is divisible by 6.
Let us considered that the no. is 12 is divisible by both 3 and 4 and it is also divisible by 6 but if the no. is 20 than it is not divisible by it. And according to the disibilaty rule of 6 the no. has to divisible by both of it. And this continue with the other nos. also expect 2 and 3.