Property 3 If number is a factor of each of the two given numbers then it is a factor of their sum.

Property 4 If a number is a factor of each of the two given numbers then it is factor of their difference.

If a number is a factor of each of the two given numbers it is also a factor of their product.

Study the given statements carefully. State T for true and 'F' for false and select the correct option. (i) If a number is a factor of each of the given two numbers, then it must be factor of their a difference. (ii) If a number is divisible by another number, then it must be divisible by each of the factors of that number. (iii) If a number is divisible by another number, then it is also divisible by all the multiples of that number. (iv)No prime number other than 2 is even but every odd number is necessarily a prime number.

Assertion: If 35 and 85 is divisible by 5, then, their sum 35 +85, is divisible by 5. Reason : If a number is a factor of two given numbers, then it is the factor of their sum.

property 2 Every number is a factor of itself

A number is a _____ of each of its factor.

Property 1 is a factor of every number

Write 'T' for true and 'F' for false statement . (i) Every prime number is odd. (ii) Every even number is composite (iii) The sum of two odd numbers is always odd. (iv) The sum of two even numbers is always even. (v) The HCF of two given numbers is always a factor of their LCM .

All prime numbers have only two factors