Problem StatementIn a mathematical exploration, Alex wants to find the greatest prime divisor of a given positive integer. Create a program that accomplishes this task where Alex has a positive integer, represented as a long long int. The program should find and display the greatest prime divisor of this integer.Write a program that displays the greatest prime divisor for various positive integers.Input format :The input consists of a long long integer n, representing the encryption number.Output format :The output prints the greatest prime divisor as a long long integer.Refer to the sample output for formatting specifications.Code constraints :In this scenario, the given test cases fall under the following constraints:1 ≤ n ≤ 100Sample test cases :Input 1 :2Output 1 :2Input 2 :100Output 2 :5Input 3 :35Output 3 :7
Question
Problem StatementIn a mathematical exploration, Alex wants to find the greatest prime divisor of a given positive integer. Create a program that accomplishes this task where Alex has a positive integer, represented as a long long int. The program should find and display the greatest prime divisor of this integer.Write a program that displays the greatest prime divisor for various positive integers.Input format :The input consists of a long long integer n, representing the encryption number.Output format :The output prints the greatest prime divisor as a long long integer.Refer to the sample output for formatting specifications.Code constraints :In this scenario, the given test cases fall under the following constraints:1 ≤ n ≤ 100Sample test cases :Input 1 :2Output 1 :2Input 2 :100Output 2 :5Input 3 :35Output 3 :7
Solution 1
To solve this problem, we can follow these steps:
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First, we need to create a function that checks if a number is prime or not. A number is prime if it is greater than 1 and has no divisors other than 1 and itself.
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Then, we need to create a loop that starts from the given number and goes down to 2. For each number in this loop, we check if it is a divisor of the given number and if it is prime. If it is, we return it as the greatest prime divisor.
Here is a Python code that implements these steps:
def is_prime(n):
if n <= 1:
return False
Solution 2
To solve this problem, we can follow these steps:
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First, we need to create a function that checks if a number is prime or not. A prime number is a number that has only two distinct positive divisors: 1 and itself. So, we can iterate from 2 to the square root of the number and if the number is divisible by any of these, it is not prime.
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Then, we need to find
Similar Questions
Problem statementSend feedbackYou are given a positive integer ‘N’. Your task is to print all prime numbers less than or equal to N.Note: A prime number is a natural number that is divisible only by 1 and itself. Example - 2, 3, 17, etc.You can assume that the value of N will always be greater than 1. So, the answer will always exist.Detailed explanation ( Input/output format, Notes, Images )Constraints:2 <= N <= 10^7Where ‘N’ is the given positive integer.Time Limit: 1secSample Input 1 :7Sample Output 1 :2 3 5 7Sample Output 1 Explanation:For the given input, all prime numbers from 2 to 7 are 2, 3, 5 and 7.Sample Input 2 :30Sample Output 2 :2 3 5 7 11 13 17 19 23 29
An integer value N is passed as the input. The program must print YES if N is prime number. Else the program must print NO.Input Format:The first line denotes the value of N.Output Format:YES or NO based on if N is a prime number or not. (The OUTPUT is CASE SENSITIVE).Boundary Conditions:2 <= N <= 9999999Example Input/Output 1:Input:19Output:YESExample Input/Output 2:Input:189210Output:NO
Write a Java program that takes a positive integer as input and performs prime factorization using a while loop. The program should display the prime factors of the given number.Ensure the program handles invalid input gracefully, providing appropriate messages
Problem StatementAnna is working on a program to find common factors of two unsigned integers. Design a program that:Takes two unsigned integers: n1 and n2, as input.Identifies and prints all common factors of these numbers.For example, Let us take two numbers 24 and 36. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 36. The common factors of 24 & 36 are 1,2,3,4,6,12 Ensure the program accurately identifies common factors, providing correct results for various inputs.Input format :The input consists of two unsigned integers n1 and n2 separated by a space.Output format :The output prints the common factors of n1 and n2, separated by a space.
Problem StatementNaveen is tasked with a mathematical challenge that requires finding the smallest positive number that is evenly divisible by all integers from 1 to a given positive number, 'n' received as input from the user. In simpler terms, find the smallest number that can be divided by all whole numbers from 1 up to 'n' without any remainder. Make sure to employ the break statement to ensure efficiency in the program.ExampleInput: 10Output: 2520Explanation: Start with the prime factorization of each number from 1 to 10:1 = 12 = 23 = 34 = 2 * 25 = 56 = 2 * 37 = 78 = 2 * 2 * 29 = 3 * 310 = 2 * 5Identify the maximum power of each prime factor:23 (from 8)32 (from 9)5 (from 5)7 (from 7)Multiply these together:23 * 32 * 5 * 7 = 2520.So, 2520 is the smallest number that can be evenly divided by all the whole numbers from 1 to 10.Note: This question helps in clearing the AMCAT exam.Input format :The input consists of a single integer n.Output format :The output displays the smallest positive number that is divisible by all integers from 1 to n without leaving any remainder.Refer to the sample output for the formatting specifications.Code constraints :In the given scenario, the test cases fall under the following constraints:2 ≤ n ≤ 20Sample test cases :Input 1 :10Output 1 :2520Input 2 :2Output 2 :2Input 3 :20Output 3 :232792560
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