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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).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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6. 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 : 24). integer z such that 360 = z(15). In this case z =
Transcribed Image Text:6. 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 : 24). integer z such that 360 = z(15). In this case z =
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