Question

A prime multiplied by a prime is always a prime.
A square multiplied by a square is always a square.
An odd number multiplied by an odd number is always an odd number.
An even number multiplied by an even number is always an even number.

Answer 1

Answer:

1. No

2. yes

3. yes

4. yes

Step-by-step explanation:

1. 2×3=6, 7×3=21 (The product of two (or more) prime numbers cannot result in another prime number. By definition, a prime number is a number that is divisible by 1 or itself - multiplying two or more primes together will always yield a number divisible by 1, itself and the prime numbers multiplied together to achieve it.

2.When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.

3. 1×3=3, 3×5=15 (odd numbers are not divisible by 2)Therefore, every prime number other than 2 is an odd number

4. 2×4=8, 6×8=48