Quiz (Fundamental Theorem of Arithmetic)

(1) Show that if and are positive integers and then

Let be a prime and a positive integer. If but we say that exactly divides and we write

(2) Show that if and then

(3) Show that if then for any positive integer

(4) Show that if and with then

(5) Show that if and are integers with then

(6) Show that if and are positive integers, then

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Fundamental Theorem Of Arithmetic Quiz
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
http://www.libraryofmath.com/fundamental-theorem-of-arithmetic-quiz.html