Divisibility Proofs Quizzes, Questions & Answers

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This Math Exam - 1 focuses on Number Theory, including problems on divisibility, consecutive integers, and properties of prime numbers.

Questions: 10  |  Attempts: 344   |  Last updated: May 22, 2025
  • Sample Question
    A certain integer when divided by 5 yields a remainder of 4. Which of these can not be an integer?
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Numbers follow patterns, and algebra is the key to proving them! In this quiz, you’ll use algebraic expressions like n = 2k and n = 3k to show when numbers are divisible by 2, 3, 5, 9, and more. You’ll also explore...

Questions: 15  |  Attempts: 10   |  Last updated: Oct 14, 2025
  • Sample Question
    A number leaves a remainder of 2 when divided by 5. Which equation represents this situation?
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Divisibility isn’t just theory—it helps solve real problems quickly! In this quiz, you’ll apply divisibility rules to check factors, confirm multiples, and prove when numbers work under different conditions....

Questions: 15  |  Attempts: 10   |  Last updated: Oct 14, 2025
  • Sample Question
    If a number leaves remainder 1 when divided by 3, which equation represents it?
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Ever wondered why divisibility rules really work? In this quiz, you’ll move beyond memorizing shortcuts and actually prove them with examples and equations. From showing why digit sums reveal divisibility to testing...

Questions: 15  |  Attempts: 10   |  Last updated: Oct 14, 2025
  • Sample Question
    A number is divisible by 2 if:
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