Answer to Question #67236 in Combinatorics | Number Theory for janette

Question

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.

Answer 1

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