Question

A positive integer n is called "powerful" if, for every prime factor p of n, p2...

A positive integer n is called "powerful" if, for every prime factor p of n, p2 is also a factor of n. An example of a powerful number is

A) 240
B) 297
C) 300
D) 336
E) 392

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Hopefully you understand all my steps . If you still have any doubts , please let me know in comments . I will reply you as soon as possible .

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Show that if p is a positive integer such that both p and p2 + 2...
Show that if p is a positive integer such that both p and p2 + 2 are prime, then p = 3.
Let a positive integer n be called a super exponential number if its prime factorization contains...
Let a positive integer n be called a super exponential number if its prime factorization contains at least one prime to a power of 1000 or larger. Prove or disprove the following statement: There exist two consecutive super exponential numbers.
Activity 6.6. (a) A positive integer that is greater than 11 and not prime is called...
Activity 6.6. (a) A positive integer that is greater than 11 and not prime is called composite. Write a technical definition for the concept of composite number with a similar level of detail as in the “more complete” definition of prime number. Note. A number is called prime if its only divisors are 1 and itself. This definition has some hidden parts: a more complete definition would be as follows. A number is called prime if it is an integer,...
Prove every integer n ≥ 2 has a prime factor. (You cannot just cite the Funda-...
Prove every integer n ≥ 2 has a prime factor. (You cannot just cite the Funda- mental Theorem of Arithmetic; this was the first step in proving the Fundamental Theorem of Arithmetic
Let n be a positive integer. Show that every abelian group of order n is cyclic...
Let n be a positive integer. Show that every abelian group of order n is cyclic if and only if n is not divisible by the square of any prime.
Assume that p does not divide n for every prime number p with n> 1 and...
Assume that p does not divide n for every prime number p with n> 1 and p <= (n) ^ (1/3). Then prove that n is a prime number or a product of two prime numbers
A positive integer is called a novenary if all of its prime factors are less than...
A positive integer is called a novenary if all of its prime factors are less than or equal to 9. Find two sets A and B of distinct novenary numbers so that if you sum the square roots of the numbers in A and subtract the sum of the square roots of the number in B the answer is close to zero.
4. Prove that if p is a prime number greater than 3, then p is of...
4. Prove that if p is a prime number greater than 3, then p is of the form 3k + 1 or 3k + 2. 5. Prove that if p is a prime number, then n √p is irrational for every integer n ≥ 2. 6. Prove or disprove that 3 is the only prime number of the form n2 −1. 7. Prove that if a is a positive integer of the form 3n+2, then at least one prime divisor...
/* This program should check if the given integer number is prime. Reminder, an integer number...
/* This program should check if the given integer number is prime. Reminder, an integer number greater than 1 is prime if it divisible only by itself and by 1. In other words a prime number divided by any other natural number (besides 1 and itself) will have a non-zero remainder. Your task: Write a method called checkPrime(n) that will take an integer greater than 1 as an input, and return true if that integer is prime; otherwise, it should...
An integer 'n' greater than 1 is prime if its only positive divisor is 1 or...
An integer 'n' greater than 1 is prime if its only positive divisor is 1 or itself. For example, 2, 3, 5, and 7 are prime numbers, but 4, 6, 8, and 9 are not. Write a python program that defines a function isPrime (number) with the following header: def isPrime (number): that checks whether a number is prime or not. Use that function in your main program to count the number of prime numbers that are less than 5000....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT