Use prime factorizations to determine whether 7800 = 23 x 3 x 5² x 13 is divisible by 195 = 3×5×13. Justify your response using the definition of divisibility. (Recall that an integer x is divisible by another integer y # 0, if there exists an integer z such that x = zy. Thus, 360 is divisible by 15 because there is an integer z such that 360 = z(15). In this case z = 24).

Use prime factorizations to determine whether 7800 = 23 x 3 x 5² x 13 is divisible by 195 = 3×5×13. Justify your response using the definition of divisibility. (Recall that an integer x is divisible by another integer y # 0, if there exists an integer z such that x = zy. Thus, 360 is divisible by 15 because there is an integer z such that 360 = z(15). In this case z = 24).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.1: Real Numbers

Problem 38E

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