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 check whether 7n can end with digit 0, for any natural number n

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 Yes, it will end with zero, when n = 10. For n = 10, it will become 7 × 10 = 70. Here, 7 have factors as 2 and 5, so 7n will end with zero for n = 10.

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  when n =10 

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prime factorization of 7 give 7*1 it do not have 5 and 2 thus it cannot end with digit zero

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if we take n as a multiple of 10 then 7n can end with 0

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if n is to be end with zero then it should be divisible by 5.this can happen only it have 5 i its prime fac...  but 7n can be written as( 7*1) n  which is 7n*1n...by d uniquesness of pf...it will never end with zero..



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for any natural number "n" it can not end with 0

take 7 n

we know any number ending with 0 conatin 5 and 2 as prime factor 

but it has 1 and 7 

there for it is not end with 0

simple and direct  method take wny number and multiply that number with what you have taken if you get the ans than it end if not thn it do not ends 

for eg

cheak whether 5 n end with 0 

than simple technique is to mulktiply the number by itself

5*5=25

25*5=125

125*5=625

you will find that the no. 5 do not endf with any other no. than 5

hence we can say it can not end with 0

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