Q. 54.3( 390 Votes )
- Check whether 6n can end with the digit 0 for any natural number n.
We need to find can 6n end with zero
If any number has last digit 0,
Then, it should be divisible by 10
Factors of 10 = 2×5
Value 6n should be divisible by 2 and 5
Prime factorisation of 6n = (2×3)n
6n is divisible by 2 but not by 5.
It can not end with 0.
Rate this question :
The LCM and HCF of two numbers are 180 and 6 respectively. If one of the numbers is 30, find the other number.RD Sharma - Mathematics
What is the largest number that divides 626, 3127 and 15628 and leaves remainders of 1, 2 and 3 respectively?RD Sharma - Mathematics
Determine the prime factorization of each of the following positive integer:
(i) 20570 (ii) 58500
(iii) 45470971RD Sharma - Mathematics
HCF of (23× 32× 5), (22× 33× 52) and (24× 3 × 53× 7) isRS Aggarwal - Mathematics
Find the largest number which divides 546 and 764, leaving remainders 6 and 8 respectively.RS Aggarwal - Mathematics
Give prime factorization of 4620.RS Aggarwal - Mathematics
Show that any number of the form 4n, n ∈ N can never end with the digit 0.RS Aggarwal - Mathematics
First the simplest form of .RS Aggarwal - Mathematics
What is the least number that is divisible by all the natural numbers from 1 to 10 (both inclusive)?RS Aggarwal - Mathematics
What is the largest number that divides 70 and 125, leaving remainders 5 and 8 respectively?RS Aggarwal - Mathematics