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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^a\times3^2\times5) and it has (24) total factors, what is the value of (a)?Class 10Real NumbersPrime FactorisationLevel 7Expert MathematicsWhich number has the prime factorisation (2^2\times3\times7^2)?Class 10Real NumbersPrime FactorisationLevel 7Expert MathematicsIf (a=2^4\times3\times5^2) and (b=2^2\times3^3\times5), what is the value of (\frac{\operatorname{LCM}(a,b)}{\operatorname{HCF}(a,b)})?Class 10Real NumbersPrime FactorisationLevel 7Expert MathematicsIf two numbers have prime factorisations (2^3\times5^2) and (2\times3^2\times5), what is their LCM?Class 10Real NumbersPrime FactorisationLevel 7Expert MathematicsIf two numbers have prime factorisations (2^3\times3^2\times5) and (2^2\times3^4\times7), what is their HCF?Class 10Real NumbersPrime FactorisationLevel 7Expert MathematicsWhat is the smallest number by which (2^5\times3^2\times7) should be multiplied to make it a perfect cube?Class 10Real NumbersPrime FactorisationLevel 7Expert MathematicsWhat is the smallest number by which (2^4\times3^3\times5^2) should be divided to get a perfect square?Class 10Real NumbersPrime FactorisationLevel 7Expert MathematicsIf (N=2^3\times3^2\times5), what is the total number of positive factors of (N)?Class 10Real NumbersPrime FactorisationLevel 7Expert MathematicsWhy will (600\times49) not be considered the final answer in prime factorisation?Class 10Real NumbersPrime FactorisationLevel 7Hard MathematicsWhat is the correct prime factorisation of 46656?Class 10Real NumbersPrime FactorisationLevel 7Hard MathematicsWhich is the prime factorisation of 33075?Class 10Real NumbersPrime FactorisationLevel 7Hard MathematicsWhat is the correct prime factorisation of 29400?Class 10Real NumbersPrime FactorisationLevel 7Hard MathematicsWhich option has incomplete prime factorisation?Class 10Real NumbersPrime FactorisationLevel 7Hard MathematicsWhich option gives only the final prime factorisation?Class 10Real NumbersPrime FactorisationLevel 7Hard MathematicsWhich is the prime factorisation of 27720?Class 10Real NumbersPrime FactorisationLevel 7Hard MathematicsWhat is the correct prime factorisation of 22050?Class 10Real NumbersPrime FactorisationLevel 7Hard MathematicsWhich is the prime factorisation of 20736?Class 10Real NumbersPrime FactorisationLevel 7Hard MathematicsWhat is the correct prime factorisation of 17640?Class 10Real NumbersPrime FactorisationLevel 7Hard MathematicsWhich is the prime factorisation of 15840?Class 10Real NumbersPrime FactorisationLevel 7Hard MathematicsWhat is the correct prime factorisation of 14700?Class 10Real NumbersPrime FactorisationLevel 7Hard