Advertisements
Advertisements
प्रश्न
For what value of natural number n, 4n can end with the digit 6?
Advertisements
उत्तर
4n = (2 × 2)n = 2n × 2n
2 is a factor of 4n.
So, 4n is always even and ends with 4 and 6.
When n is an even number say 2, 4, 6, 8 then 4n can end with the digit 6.
Example:
42 = 16
43 = 64
44 = 256
45 = 1,024
46 = 4,096
47 = 16,384
48 = 65,536
49 = 262,144
APPEARS IN
संबंधित प्रश्न
State fundamental theorem of arithmetic.
Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = Product of the two numbers.
26 and 91
Write the exponent of 2 in the prime factorization of 144.
If the product of two numbers is 1080 and their HCF is 30, find their LCM.
If m, n are natural numbers, for what values of m, does 2n × 5m ends in 5?
LCM of the given number ‘x’ and ‘y’ where y is a multiple of ‘x’ is given by ______.
The largest number which divides 60 and 75, leaving remainders 8 and 10 respectively, is ______.
Find the HCF and LCM of 26, 65 and 117, using prime factorisation.
If HCF (72, 120) = 24, then LCM (72, 120) is ______.
The prime factorisation of the number 5488 is ______.
