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#class10thmaths Q7. Check whether 6n can end with the digit 0 for any natural number n #motivation

CBSC class 10Th maths chapter

Real Numbers Important Questions and Answers
Q.7: Check whether 6n can end with the digit 0 for any natural number n.

Solution:

If the number 6n ends with the digit zero (0), then it should be divisible by 5, as we know any number with a unit place as 0 or 5 is divisible by 5.

Prime factorization of 6n = (2 × 3)n

Therefore, the prime factorization of 6n doesn’t contain the prime number 5.

Hence, it is clear that for any natural number n, 6n is not divisible by 5 and thus it proves that 6n cannot end with the digit 0 for any natural number n.
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