Question

6 read each statement about the numbers 12, 16, and 20. mark true or false. the greatest common factor is 4. a common factor is 8. each of these numbers is divisible by 3. the least common multiple is 240.

Explanation:

Step1: Find GCF of 12,16,20

List factors:
12: $1,2,3,4,6,12$
16: $1,2,4,8,16$
20: $1,2,4,5,10,20$
Greatest shared factor: $4$

Step2: Check if 8 is a common factor

8 does not divide 12 or 20, so no.

Step3: Check divisibility by 3

$16\div3\approx5.33$, $20\div3\approx6.67$; not integers.

Step4: Calculate LCM of 12,16,20

Prime factorizations:
$12=2^2\times3$, $16=2^4$, $20=2^2\times5$
LCM = $2^4\times3\times5=16\times15=240$

Answer:

Statement	T	F
A common factor is 8.		X
Each of these numbers is divisible by 3.		X
The least common multiple is 240.	X