Question

In: Computer Science

Show that an integer is divisible by 17 if and only if the integer formed by...

Show that an integer is divisible by 17 if and only if the integer formed by subtracting 5 times the last digit from the integer formed from the remaining digits is divisible by 17.
[For example 442 is divisible by 17 since 44 – 5*2 = 34 is divisible by 17]
course: discrete structure

Solutions

Expert Solution


___________________________________________________________________

Note: If you have queries or confusion regarding this question, please leave a comment. I would be happy to help you. If you find it to be useful, please upvote.


Related Solutions

(Prime Numbers) An integer is said to be prime if it is divisible by only 1...
(Prime Numbers) An integer is said to be prime if it is divisible by only 1 and itself. For example, 2, 3, 5 and 7 are prime, but 4, 6, 8 and 9 are not. Write pseudocode and function called isPrime that receives an integer and determines whether the integer is prime or not. Write a test program that uses isPrime to determine and print all the prime numbers between 1 and 1000. Display 10 numbers per line. Twin primes...
Python question Recall that a prime number is an integer that is only divisible by 1...
Python question Recall that a prime number is an integer that is only divisible by 1 and itself. For example, numbers 2, 3, 5, 7, 13, 19 are prime, whereas 4, 10, 12, 100 are not. Also, recall that factors are the numbers you multiply to get another number. For example, 24 has 8 factors: 1, 2, 3, 4, 6, 8, 12, and 24. As you know, any number can be factorized into several (possibly repeating) prime factors. For instance,...
A prime number is an integer greater than 1 that is evenly divisible by only 1...
A prime number is an integer greater than 1 that is evenly divisible by only 1 and itself. For example, 2, 3, 5, and 7 are prime numbers, but 4, 6, 8, and 9 are not. Create a PrimeNumber application that prompts the user for a number and then displays a message indicating whether the number is prime or not. Hint: The % operator can be used to determine if one number is evenly divisible by another. Java
A prime number is an integer greater than 1 that is evenly divisible by only 1...
A prime number is an integer greater than 1 that is evenly divisible by only 1 and itself. For example, 2, 3, 5, and 7 are prime numbers, but 4, 6, 8, and 9 are not. Create a PrimeNumber application that prompts the user for a number and then displays a message indicating whether the number is prime or not. Hint: The % operator can be used to determine if one number is evenly divisible by another. b) Modify the...
Show that there is only one positive integer k such that no graph contains exactly k...
Show that there is only one positive integer k such that no graph contains exactly k spanning trees.
Prove by strong mathematical induction that any integer greater than 1 is divisible by a prime...
Prove by strong mathematical induction that any integer greater than 1 is divisible by a prime number.
A prime number is a number that is only evenly divisible by itself and 1. For...
A prime number is a number that is only evenly divisible by itself and 1. For example, the number 5 is prime because it can only be evenly divided by 1 and 5. The number 6, however, is not prime because it can be divided evenly by 1, 2, 3, and 6. Design a Boolean function called isPrime, that accepts an integer as an argument and returns True if the argument is a prime number, or False otherwise. Use the...
isPrime Function. A prime number is a number that is only evenly divisible by itself and...
isPrime Function. A prime number is a number that is only evenly divisible by itself and 1. For example, the number 5 is prime because it can only be evenly divided by 1 and 5. The number 6, however, is not prime because it can be divided evenly by 1, 2, 3, and 6. Write a function named isPrime, which takes an integer as an argument and returns true if the argument is a prime number, or false otherwise. The...
5. A prime number is a number that is only evenly divisible by itself and 1....
5. A prime number is a number that is only evenly divisible by itself and 1. For example, the number 5 is prime because it can only be evenly divided by 1 and 5. The number 6, how‐ ever, is not prime because it can be divided evenly by 1, 2, 3, and 6.   Write a Boolean function named is_prime which takes an integer as an argument and returns true if the argument is a prime number, or false otherwise....
Show that the relation 'a R b if and only if a−b is an even integer defined on the Z of integers is an equivalence relation.
Show that the relation 'a R b if and only if a−b is an even integer defined on the Z of integers is an equivalence relation.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT