show that the number 7 power n cannot end with the digit zero for any natural number
Answers
Answered by
18
Hey dear!
Here is yr answer....
Given,
7^n where, n is any natural no.
If any no. is going to be end with the digit 0...then it is divisible by 2 , 5
Therefore, in its prime factorization 2, 5 should occur
But.... 7 is a prime no.
So, there will be no factors.. 2,5
So, 7^n is not divisible by 2 , 5
Therefore, 7^n never ends with 0
Hope it hlpz.
Here is yr answer....
Given,
7^n where, n is any natural no.
If any no. is going to be end with the digit 0...then it is divisible by 2 , 5
Therefore, in its prime factorization 2, 5 should occur
But.... 7 is a prime no.
So, there will be no factors.. 2,5
So, 7^n is not divisible by 2 , 5
Therefore, 7^n never ends with 0
Hope it hlpz.
Similar questions