Find the remainder when 7305 is divided by 5

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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Example 1. Find the remainder when 2100 is divided by 5.
Solution:
2 = 2 mod 5
2² = 2² mod 5
22 = -1 mod 5
(22)50=(-1)5⁰ mod 5
Finally,
21001 mod 5.
This means that dividing 2100 by 5 gives the remainder 1.
But
Thus,
Transcribed Image Text:Example 1. Find the remainder when 2100 is divided by 5. Solution: 2 = 2 mod 5 2² = 2² mod 5 22 = -1 mod 5 (22)50=(-1)5⁰ mod 5 Finally, 21001 mod 5. This means that dividing 2100 by 5 gives the remainder 1. But Thus,
Find the remainder when 7305 is divided by 5.
Transcribed Image Text:Find the remainder when 7305 is divided by 5.
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