Question

check whether 15n end with the digit 0 for any natural ​

Answer 1

Answer:

Step-by-step explanation:

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

Answer 2

Answer:

(15)n can end with the digit 0 only if (15)n is divisible by 2 and 5 But prime factors of (15)n are 3n x 5n By Fundamental theorem of Arithmetic, there is no natural number n for which (15)n ends with the digit zero.