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Prime Factorisation

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf a number has prime factorisation (2^4 \times 3^3), by which number must it be divisible?Class 10Real NumbersPrime FactorisationLevel 12MediumMathematicsHow many maximum times can (2^7 \times 5^3) be completely divided by (10)?Class 10Real NumbersPrime FactorisationLevel 12MediumMathematicsHow many maximum times can (2^5 \times 3^3 \times 5) be completely divided by (18)?Class 10Real NumbersPrime FactorisationLevel 12MediumMathematicsWhat is the square root of (2^6 \times 5^2)?Class 10Real NumbersPrime FactorisationLevel 12MediumMathematicsWhat is the cube root of (2^9 \times 3^3)?Class 10Real NumbersPrime FactorisationLevel 12MediumMathematicsIf (N=2^3 \times 3^4), why will (\sqrt{N}) not be an integer?Class 10Real NumbersPrime FactorisationLevel 12MediumMathematicsWhat will be the smallest even multiple of (3^3 \times 7)?Class 10Real NumbersPrime FactorisationLevel 12MediumMathematicsWhat will be the greatest odd factor of (2^3 \times 3^2 \times 5^2)?Class 10Real NumbersPrime FactorisationLevel 12MediumMathematicsIf (N=2^3 \times 5^6), what type of number is (N)?Class 10Real NumbersPrime FactorisationLevel 12MediumMathematicsIf (N=2^4 \times 3^2 \times 5^2), what type of number is (N)?Class 10Real NumbersPrime FactorisationLevel 12MediumMathematicsWhat is the exponent of (3) in the prime factorisation of (729)?Class 10Real NumbersPrime FactorisationLevel 12MediumMathematicsHow many factors of (2^5 \times 3^2 \times 7) are perfect squares?Class 10Real NumbersPrime FactorisationLevel 12MediumMathematicsHow many factors of (2^4 \times 5^3) will be divisible by (10)?Class 10Real NumbersPrime FactorisationLevel 12MediumMathematicsHow many factors of (2^4 \times 3^3) will be divisible by (3)?Class 10Real NumbersPrime FactorisationLevel 12MediumMathematicsBy the least number should (2^4 \times 3^3 \times 5) be multiplied to make it a perfect square?Class 10Real NumbersPrime FactorisationLevel 12MediumMathematicsBy the least number should (2^5 \times 3^2) be multiplied to make it a perfect cube?Class 10Real NumbersPrime FactorisationLevel 12MediumMathematicsWhat is the greatest prime factor of (2^2 \times 3^3 \times 11)?Class 10Real NumbersPrime FactorisationLevel 12MediumMathematicsWhich prime factorisation represents an even number?Class 10Real NumbersPrime FactorisationLevel 12MediumMathematicsWhich prime factorisation represents an odd number?Class 10Real NumbersPrime FactorisationLevel 12MediumMathematicsIf (N=2^4 \times 3 \times 5^2), how many distinct prime factors does (N) have?Class 10Real NumbersPrime FactorisationLevel 12Medium