Text Solution
Solution : Factors of 5 = 1,5 <br> Factors of 12 = 1, 2, 3, 4, 6, 12 <br> 5 and 12 are co-primes, and we know that if a number is divisible by two co-primes, then it is a known fact that it is also divisible by their product. <br> The product of 5 and 12 is 60. Hence, the number is always divisible by 60. Therefore, if a number is divisible by both 5 and 12, it will be divisible by 60.
Question 3 Exercise 3.4
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Answer:
SOLUTION:
the given number will be divisible by the product of 5 and 12 i.e, it is always divisible by 5\times12=60.
Video transcript
So guys welcome to leader homework. Today. We are in question number six, which is a number is divisible by both 5 and 12 I have which another number or will that number be divisible? So this is a very easy thing to what you have to do is you have to just multiply the number by which numbers is that number divisible. So as it is divisible by 5 and 12 in this case, so you do five. Into 12/5, sorry. 5 x 12 which will If you answer at 60 and therefore the number, or which is always divisible by 5 and 12 both. It will always be divisible by 60 as well. Right? So even if it were other numbers like four and three here answer would come for you to breathe and stretch. So, this is a very easy thing. If you have any doubts, please let me know in the comments. Thank you so much. Have a great day guys.
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Solution:
We use the concepts of factors and coprime numbers to answer the given question.
We need to find out which number is divisible by both 5 and 12. Since the unknown number is divisible by both 5 and 12, let us find the factors of 5 and 12.
Factors of 5 are 1 and 5
Factors of 12 are 1, 2, 3, 4, 6 and 12.
Since the common factor of these numbers is 1, the given two numbers are co-prime.
Therefore, the number will also be divisible by their product which is 5 x 12 = 60 since if we divide 60 by 5 we get 12 and if we divide 60 by 12, we get 5.
Therefore, the required number is 60.
The number will also be divisible by all the factors of 60.
The factors of 60 are 1,2,3,4,5,6,10,12,15,20,30 and 60.
Therefore, the number will also be divisible by 1,2,3,4,6,10,15,20,30 and 60.
NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.4 Question 6
A number is divisible by both 5 and 12. By which other numbers will that number be always divisible?
Summary:
Using the concepts of factors and coprime numbers, it can be concluded that the required number which is divisible by both 5 and 12 is 60. This number is always divisible by 1,2,3,4,5,6,10,12,15,20,30 and 60.
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