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INTEGERS AND DIVISIBILITY CONCEPTS 1.Show that if d ≠ 0, then d | (-a) and -d | a. 2.Show that it is false that a>b implies a|b. 3.Is 980637 divisible by 7? Show. 4.Determine whether of the following are divisible by 3, 5, 7, 9, or 11 using the methods described int he text: A. 1969 B. 28350 C. 1421 D. 17303 E. 116424 F. 1089 5.Classify each of the following as true or false: A. 6 is a divisor of 24. B. 40 is a multiple of 8. C. 0 divides 10. D. 13 is a factor of 33. E. 12 divides 6. 6.Show that 23n -1 is divisible by 7. 7.Show that 5n - 1 is divisible by 4. GREATEST COMMON FACTOR (GCF) AND THE LEAST COMMON MULTIPLE (LCM) 1.Calculate (3141 , 1592). 2.Find x and y such that, 3141x + 1592y =1. 3.Find the solution of 803x + 154y = 33. 4.Find the GCD and LCM of the numbers 63,24, 99.
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