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Question

Question 40

In the given question, state whether the given statement is True or False.

If a number a is divisible by b, then it must be divisible by each factor of b.
 


Solution

True
Given, a is divisible by b.
Let b=p1.p2, where p1 and p2 are primes.
Since, a is divisible by b, a is a multiple of b 
i.e. a = mb
a = m . p1.p2
or                      a=cp2=dp1, where c=mp1,d=mp2
a is a multiple of p1 as well as p2.
Hence, a is divisible by each factor b.
 

Mathematics
NCERT Exemplar
Standard VIII

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