Advertisements
Advertisements
प्रश्न
Show the 6n cannot end with digit 0 for any natural number 'n'.
उत्तर
Here, 6n = (2 × 3)n = 2n × 3n
∴ Only prime factorization of 6n are 2 and 3
But 6n, for any natural number n, ends with digit 0, then it must contain the prime numbers 5.
Hence, 6n can not end with digit 0 for any natural number 'n'.
संबंधित प्रश्न
What is the HCF of the smallest prime number and the smallest composite number?
Determine the prime factorisation of each of the following positive integer:
58500
Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.
510 and 92
There is a circular path around a sports field. Priya takes 18 minutes to drive one round of the field. Harish takes 12 minutes. Suppose they both start at the same point and at the same time and go in the same direction. After how many minutes will they meet?
The largest number which divides 60 and 75, leaving remainders 8 and 10 respectively, is ______.
(HCF × LCM) for the numbers 30 and 70 is ______.
If n is a natural number, then 8n cannot end with digit
The HCF of the smallest 2-digit number and the smallest composite number is ______.
The mean of first ten natural numbers is ______.
National Art convention got registrations from students from all parts of the country, of which 60 are interested in music, 84 are interested in dance and 108 students are interested in handicrafts. For optimum cultural exchange, organisers wish to keep them in minimum number of groups such that each group consists of students interested in the same artform and the number of students in each group is the same. Find the number of students in each group. Find the number of groups in each art form. How many rooms are required if each group will be allotted a room?