Numbers Mastery Quiz

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Prime, factors, and roots basics

nayyera tanveer

Pakistan

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Numbers Mastery Quiz


Numbers Mastery QuizVersion en ligne Prime, factors, and roots basics par nayyera tanveer 1 Which number is prime? a 9 b 4 c 11 d 15 2 Which number is composite? a 9 b 17 c 1 d 13 3 Prime factorization of 60 is which form? a 2^2 × 3 × 5 b 2 × 3 × 10 c 2 × 2 × 15 d 2^3 × 3 × 5 4 Express 3^4 in index notation terms. a 3^4 b 64 c 3^5 d 4^3 5 What is the square root of 36? a 6 b 9 c 4 d 5 6 What is the cube root of 27? a 27 b 3 c 1 d 9 7 Is 1 a prime number? a Only for 2 b No c Yes d Only for 3 8 Which is a correct prime factorization of 84? a 2^3 × 3 × 7 b 2^2 × 3 × 5 c 2^2 × 3 × 7 d 2 × 2 × 2 × 3 × 7 9 Which number is not a perfect square? a 25 b 49 c 16 d 30 10 What is the cube root of 64? a 4 b 6 c 2 d 8 Feedback 1 Prime numbers have exactly two distinct positive divisors: 1 and itself. 2 Composite numbers have more than two positive divisors. 3 Prime factorization uses prime factors only; 60 = 2^2 · 3 · 5. 4 Index notation uses a base (3) raised to an exponent (4). 5 Square root finds a number that squares to 36; 6^2 = 36. 6 Cube root is a number that cubes to 27; 3^3 = 27. 7 By definition, primes have exactly two distinct divisors; 1 has one. 8 84 = 2^2 · 3 · 7; remove non-prime factors. 9 Perfect squares have integer square roots; 30 is not a square. 10 4^3 = 64; cube roots find the number that cubes to 64.