d) If 72 = 1 (mod 5), with 0

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 10E: Let be a nonzero integer and a positive integer. Prove or disprove that .
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please send complete Correct answers only for Q4 for part d e

Q4
FILL IN THE BLANKS. No justification is required.
a) For a and n positive integers, a is a divisor of n if.
, for some integer b.
b) The largest digit d, with 0 <d< 9, such that the following number is divisible by 9:
323, 195, 3d3, 621, 396, 720
is
c) The number of distinct congruence classes modulo 7 among
[12], [33], [11], [78], [-12], [18], [–28]
is
d) If 72 = x (mod 5), with 0 <x < 4, then x =.
e) The number of (positive) divisors of 23345 is.
Transcribed Image Text:Q4 FILL IN THE BLANKS. No justification is required. a) For a and n positive integers, a is a divisor of n if. , for some integer b. b) The largest digit d, with 0 <d< 9, such that the following number is divisible by 9: 323, 195, 3d3, 621, 396, 720 is c) The number of distinct congruence classes modulo 7 among [12], [33], [11], [78], [-12], [18], [–28] is d) If 72 = x (mod 5), with 0 <x < 4, then x =. e) The number of (positive) divisors of 23345 is.
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