Question

Say true or false
1. All even numbers are factors of 2
2. All prime numbers are odd
3. Numbers having more than 2factors are called composite numbers

Please show with explanation

Answer 1

1. true b'coz all even no. can be divide by 2

2.false b'coz defination of prime no. is that " the natural no. which canbe divide by itself or by 1 is the prime no. "

3. false b'coz composite no. is also reffered as prime no. but for whole no.

Answer 2

1) Yes ,For example, 2, 4, 6, 8, 10……36, 38, 40……etc. are the multiples of 2 or 2 is one of the factors of these numbers. So, all these numbers are called even numbers. Thus, any number divisible by 2 is an even number.

2)No,Two is a prime because it is divisible by only two and one. All the other evennumbers are not prime because they are all divisible by two. 

3)Yes,A number n that has more divisorsthan any x < n is a highly composite number (though the first two suchnumbers are 1 and 2). Composite numbers have also been called"rectangular numbers",