Question

Can someone pls answer these two questions? tysmm

Answer 1

8. A composite number, by definition 'a positive integer that can be formed by multiplying two smaller positive integers'. So any two numbers greater than 1 will create a composite number.

9. A prime number (p) added to itself is the same as multiplying it by 2. Therefore, the new number is divisible by 2, and cannot be prime.

Answer 2

Problem 8

A prime number is where it has factors of 1 and itself, and no other factors.

Example: 7 is prime because 1 and 7 are the only factors.

If we take two whole numbers from the set {2,3,4,5,6,...} and multiply them together, then we'll get some composite number. Eg: 2*3 = 6 is composite.

We know it's composite because those two values we multiplied are factors of the number, and those two values we picked aren't 1 and the prime number itself.

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Problem 9

p = some prime number

p+p = adding the prime to itself = 2p

2p = some even number

2 is a factor of 2p, which means 2p is not prime. The expression 2p represents a composite number. Regardless of whatever prime you pick for p.

Example: p = 11 gives

p+p = 11+11 = 22

or

2p = 2*11 = 22

The value 22 is not prime since we have factors 2 and 11.