PART (1) Determine whether each of the following statements if TRUE or FALSE. If it is true, explain your reasoning. If it is false, give a counter example.
(a) If 6 is a factor of a number, then 2 and 3 are also factors of that number. *
(a) If it is true, explain your reasoning. If it is false, give an counter example. *
Your answer
(b) If 2 and 3 are factors of a number, then 6 is also a factor of that number. *
(b) If it is true, explain your reasoning. If it is false, give an counter example. *
Your answer
(c) If 2 and 4 are factors of a number, then 8 is also a factor of that number. *
(c) If it is true, explain your reasoning. If it is false, give an counter example. *
Your answer
(d) If f is a factor of n, then n/f is also a factor of n. *
(d) If it is true, explain your reasoning. If it is false, give an counter example. *
Your answer
(e) If h is the HCF of p and q, then both p and q are divisible by h. *
(e) If it is true, explain your reasoning. If it is false, give an counter example. *
Your answer
PART (2) Determine whether each of the following statements is TRUE or FALSE. If it is true, explain your reasoning. If it is false, give a counter example.
(a) If 6 is a multiple of a number, then 12 is also a multiple of that number. *
(a) If it is true, explain your reasoning. If it is false, give an counter example. *
Your answer
(b) If 12 is a multiple of a number, then 6 is also a multiple of that number. *
(b) If it is true, explain your reasoning. If it is false, give an counter example. *
Your answer
(c) If 18 is a multiple of a number, then 18 is divisible by that number. *
(c) If it is true, explain your reasoning. If it is false, give an counter example. *
Your answer
(d) If m is the LCM of p and q, then m is divisible by both p and q. *
(d) If it is true, explain your reasoning. If it is false, give an counter example. *
Your answer
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