Unit 2 · Number Theory
Even ÷ 8 — Which Remainders Are Possible?
Lesson 17 of 18
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About this lesson
Even number ÷ 8: the remainder must be even because even − even = even. Only 0, 2, 4, 6 are possible. Since 0 doesn’t appear in the options, the answer is 2, 4, 6.
Chapters
0:00Introduction
0:23The Question
0:52Defining the general remainder space
1:20Testing even numbers systematically
1:52Applying parity logic
2:24Exam strategy — parity elimination
2:56Confirming the final option
Question
When an even number is divided by 8, what are all of the possible remainders?
When an even number is divided by 8, what are all of the possible remainders?
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