188k views
4 votes
Can someone pls answer these two questions? tysmm

Can someone pls answer these two questions? tysmm-example-1

2 Answers

0 votes

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.

User Dhinesh
by
8.1k points
4 votes

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.

==========================================

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.

User Sachith Muhandiram
by
8.3k points

Related questions

asked Aug 6, 2024 170k views
KhanS asked Aug 6, 2024
by KhanS
8.4k points
1 answer
4 votes
170k views
asked Jul 26, 2024 71.8k views
David Meister asked Jul 26, 2024
by David Meister
8.1k points
1 answer
1 vote
71.8k views