Given the following sequence:3,6,12,24
1 answer:
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If a,b, and c are prime numbers, do (a*b) and c have a common factor that is greater than 1
(1) a,b, and c are all different prime numbers
(2) c≠2
1. Let's assume values of 1,3 and 5 to a, b, and c respectively
a b = 1*3 = 3
3 and 5 do not have any common factor aside 1
Let's assume values of 1,3 and 2 to a,b and c respectively
a *b = 1*3 = 3
3 and 2 does not have a common factor aside 1
2. c 2
Let's assume values of 2,7 and 3 to a b and c response
a * b = 2 *7 = 14
14 and 3 does not have a common factor aside 1
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