Ncert Solutions for Class 6 Maths Chapter 3 Playing With Numbers Exercise 3.5:
Ncert Solutions for Class 6 Maths Chapter 3 Playing with Numbers Exercise 3.5: In this Chapter playing with numbers We learn the basics of the Numbers System In class 6 maths ncert Exercise 3.5 Solutions. This Chapter Playing with Numbers is very important for Class 6 maths Students to get a High Score in their Exam. And we help the Class 6 Students to Achieve Their Dream By providing Class 6 Maths Ncert Solutions Chapter 3 Playing with Numbers Exercise 3.5 With Free Pdf Download. And We also Provide Video solutions.
Ncert Solutions for Class 6 Maths Chapter 2 Playing with Numbers Exercise 3.5 pdf:-
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Some More Divisibility Rules
Let us observe a few more rules about the divisibility of numbers.
i) Can you give a factor of 18? It is 9. Name a factor of 9? It is 3. Is 3 a factor
of 18? Yes, it is. Take any other factor of 18, say 6. Now, 2 is a factor of 6
and it also divides 18. Check this for the other factors of 18. Consider 24.
It is divisible by 8 and the factors of 8 i.e. 1, 2, 4 and 8 also divide 24.
So, we may say that if a number is divisible by another number then
it is divisible by each of the factors of that number.
(ii) The number 80 is divisible by 4 and 5. It is also divisible by
4 × 5 = 20, and 4 and 5 are co-primes.
Similarly, 60 is divisible by 3 and 5 which are co-primes. 60 is also divisible
by 3 × 5 = 15.
If a number is divisible by two co-prime numbers then it is divisible
by their product also.
(iii) The numbers 16 and 20 are both divisible by 4. The number 16 + 20 = 36 is
also divisible by 4. Check this for other pairs of numbers.
Try this for other common divisors of 16 and 20.
If two given numbers are divisible by a number, then their sum is
also divisible by that number.
(iv) The numbers 35 and 20 are both divisible by 5. Is their difference
35 – 20 = 15 also divisible by 5 ? Try this for other pairs of numbers also.
If two given numbers are divisible by a number, then their difference
is also divisible by that number.
Take different pairs of numbers and check the four rules given above.
When a number is expressed as a product of its factors we say that the number
has been factorised. Thus, when we write 24 = 3×8, we say that 24 has been
factorised. This is one of the factorisations of 24.