Check whether 15*n can end with digit zero for any natural number
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If 15ⁿ end with digit zero,then the number should be divisible by 2 and 5.
As 2×5=10
→This means the prime factorization of 15ⁿ should contain prime factors 2 and 5.
→15ⁿ = (3×5)ⁿ
It does not have the prime factor 2 but have 3 and 5,
Since 2 is not present in the prime factorization, there is no natural number nor which 15ⁿ ends with digit zero.
So,15ⁿ can not end with digit zero.
Hope it helps
As 2×5=10
→This means the prime factorization of 15ⁿ should contain prime factors 2 and 5.
→15ⁿ = (3×5)ⁿ
It does not have the prime factor 2 but have 3 and 5,
Since 2 is not present in the prime factorization, there is no natural number nor which 15ⁿ ends with digit zero.
So,15ⁿ can not end with digit zero.
Hope it helps
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