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Give answer of "check whether 14n can end with the digit 0 for any natural number n.?
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Give answer of "check whether 14n can end with the digit 0 for any nat...
Checking Whether 14n Can End with the Digit 0 for Any Natural Number n
Introduction
The problem at hand is to determine whether 14n can end with the digit 0 for any natural number n. This problem can be solved by analyzing the properties of the number 14 and the properties of numbers that end with the digit 0.
Properties of 14
The number 14 is composite, meaning it is not a prime number. Its prime factorization is 2 x 7. This implies that any multiple of 14 will have at least one factor of 2 and one factor of 7.
Properties of Numbers that End with 0
Numbers that end with 0 are multiples of 10. They have a prime factorization of 2 x 5. This means that any number that ends with 0 will have at least one factor of 2 and one factor of 5.
Applying the Properties
If 14n ends with the digit 0, then it must be a multiple of 10. This means that 14n must have at least one factor of 2 and one factor of 5. We know that 14 has a factor of 2 and a factor of 7, but it does not have a factor of 5. Therefore, any multiple of 14 cannot end with the digit 0.
Conclusion
We have shown that 14n cannot end with the digit 0 for any natural number n. This is because 14 does not have a factor of 5, which is necessary for any number to end with 0. Therefore, we can conclude that the answer to the problem is no.
Community Answer
Give answer of "check whether 14n can end with the digit 0 for any nat...
If a number need to end with 0 then it must have 2 &5 as its factors.......but here 14n has 2 as its factor but it doesn't have 5 as a factor ....sooo 14n cant end with 0
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Give answer of "check whether 14n can end with the digit 0 for any natural number n.? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Give answer of "check whether 14n can end with the digit 0 for any natural number n.? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Give answer of "check whether 14n can end with the digit 0 for any natural number n.?.
Give answer of "check whether 14n can end with the digit 0 for any natural number n.? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Give answer of "check whether 14n can end with the digit 0 for any natural number n.? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Give answer of "check whether 14n can end with the digit 0 for any natural number n.?.
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