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Number Theory and Divisibility - Class VIII

Comprehensive quiz covering divisibility rules, prime factorization, the Fundamental Theorem of Arithmetic, and number theory concepts including remainders and modular arithmetic for Class VIII students

7 Questions Published
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Questions

Question 1 Multiple Choice (Single Answer)

$20$ is written as the product of primes as :
  1. ${2\times 5 }$
  2. ${2\times 2\times 3\times 5}$
  3. ${2\times 2\times 5}$
  4. ${2\times 2\times 3}$
Question 2 Multiple Choice (Single Answer)

Prime factors of $140$ are :

  1. ${2\times2\times 7}$
  2. ${2\times2\times5}$
  3. ${2\times2\times5\times7}$
  4. ${2\times2\times5\times7\times3}$
Question 3 Multiple Choice (Single Answer)

The ........... when multiplied always give a new unique natural number.

  1. decimal numbers
  2. fractions
  3. irrational numbers
  4. prime numbers
Question 4 Multiple Choice (Single Answer)

Fundamental theorem of arithmetic is also called as ______ Factorization Theorem.

  1. Algebra
  2. Ambiguous
  3. Unique
  4. None of these
Question 5 Multiple Choice (Single Answer)

We need blocks to build a building. In the same way _______ are basic blocks to form all natural numbers .

  1. prime numbers
  2. real numbers
  3. unique numbers
  4. negative numbers
Question 6 Multiple Choice (Single Answer)

................. states the possibility of the prime factorization of any natural number is unique. The numbers can be multiplied in any order.

  1. Pythagora's theorem
  2. Remainder theorem
  3. Fundamental theorem of arithmetic
  4. none of the above
Question 7 Multiple Choice (Single Answer)

Fundamental theorem of arithmetic is basically used for ________

  1. proving the irrationality of numbers.
  2. <span>to explore when exactly the decimal expansion of a rational number is terminating or non-terminating repeating.</span>
  3. <span>prime numbers.</span>
  4. both A and B.
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