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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

IF 12^N END WITH 0 OR 5 THEN IT'S PRIME FACTORIZATION CONTAIN 5 HENCE, 12=3×4 IT DOES NOT CONTAIN 5 SO , IT MEANS 12^N DOES NOT END WITH 0 OR 5. HOPE IT HELP YOU ,PLZ MARK IT BEST

For the number 12^n to end with digit zero for any natural number n, it should be divisible by 5. this means that the prime factorization of 12^n should contain the prime number 5. but it is not possible because 12^n=2^2n* 3^n. so, 2 and 3 are the primes in the factorization of 12^n.since 5 is not present in the prime factorization, there is no natural number n for which 12^n ends with the digit zero.