2. What are the prime factors for the below numbers and arrange them in a canonical form. a. 17 b. 100 c. 25 d. 81 e. 125 f. 132

Q: are there any even numbers greater than 2 which are prime? why or why not?

A: We will find the solution in the following step

Q: Is it possible to raise a positive number b to a power and obtain a negative number? Is it possible…

A: The given statement is " The possibility to raise a positive number b to a power and obtain a…

Q: Name all integers from -100 to 100 that are congruent to -1 modulo 25!

A:

Q: Find the eighth row in Pascal's triangle. List the entries of the eighth row in Pascal's triangle in…

A: Solution-: We find the 8th row of pascal's triangle=?

Q: Texas is starting a lottery game. Play- ers use a machine that randomly selects 7 distinct numbers…

A: To calculate the probability that Texas will lose money, we need to determine the expected value of…

Q: Prove that an odd number multiplied by an odd number is odd.

A: The objective is to prove that an odd number multiplied by an odd number is odd.

Q: Which of these gives the prime numbers between 0 and 7? (A) 0,1,2,3,4,5,6,7 (B) 1,2,3,4,5,6…

A: A number is called prime number if it is divisible only by 1 and itself.  Note- 1 is not a prime…

Q: bers {1, 3, 6, …}

A:

Q: what two consective odd integers have a product of 63?

A: Find two odd integers.

Q: Show that given any set of 5 natural numbers, there are 3 numbers whose sum is divisible by 3.

A: Let q∈N. Note that, for every q there exists some x∈N and some v∈0,1,2 such that q=3x+v. Now, let…

Q: Describe a general method for finding all the divisors of a positive integer once you know the prime…

A: Given  A positive Integer whose prime factorization is given . To find all the divisors with general…

Q: List all the primes between 20 and 40 in increasing order (in the form 2,3,5,7,9,11). A/

A: I am attaching image so that you understand each and every step.

Q: identify all natural numbers having exactly 28 divisors.

A:

Q: Find the 66th term of the triangular numbers {1, 3, 6, …}.

A:

Q: Prove that 3 is prime.

A: