Question

Determine whether each of the following statement
is true or false. If it is true, explain your reasoning
If it is false, give a counterexample.
(a) If 6 is a factor of a number, then 2 and 3 a
also factors of that number.
(b) If 2 and 3 are factors of a number, then 6
also a factor of that number.
(c) If 2 and 4 are factors of a number, then
also a factor of that number.
(d) if f is a factor of n, then is also a fad
of n.
(e) If h is the HCF of p and then both
Ps pls show your working

Answer 1

Answer:

a: TRUE, if 6 is a factor of a number, then even 2 and 3 are also the factors because of the divisibility rule of 6 which says that " a number should be divisible by both 2 and 3 to be divisible by 6"

b: TRUE,Yes, if 6 is a factor of a number, then even 2 and 3 are also the factors because of the divisibility rule of 6 which clearly states that " a number should be divisible by both 2 and 3 to be divisible by 6"

c: FALSE, 8 is not the factor because it is 2 and 4 can divide 8 8 itself can't divide 2 and 4

do it yourself! part c and d you should do it yourself for your own better understanding