Check whether 12n cannot end with the digit 0 or 5 for any natural number n

Here, Number=12n where n stand for any natural number . Now 12n= (22 x3)n Now , For 12n to end with 0, it should have 2 as well as 5 in its Prime factors to end ...

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Standard X

Mathematics

Method of Finding LCM

check whether...

Question

check whether 12ⁿ cannot end with the digit 0 or 5 for any natural number n

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Solution

Here, Number=12ⁿwhere n stand for any natural number .

Now 12ⁿ= (2² x3)ⁿ

Now , For 12ⁿ to end with 0, it should have 2 as well as 5 in its Prime factors to end with 0, Also to end with 5 , it requires at least a single multiple of 5 in its Prime Factors, So 12ⁿ cannot end with the digit 0 or 5.

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check whether 12n cannot end with the digit 0 or 5 for any natural number n

Here, Number=12n where n stand for any natural number . Now 12n= (22 x3)n Now , For 12n to end with 0, it should have 2 as well as 5 in its Prime factors to end with 0, Also to end with 5 , it requires at least a single multiple of 5 in its Prime Factors, So 12n cannot end with the digit 0 or 5.

check whether 12ⁿ cannot end with the digit 0 or 5 for any natural number n