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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=2^4\times3^2\times5) and (B=2^2\times3\times5^3), how many times is their LCM greater than their HCF?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf (N=2^a\times3^b) and (N) has (18) total factors, which pair is possible?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf (k=2^3\times3^2\times5^2\times7), how many factors of (k) are divisible by (15)?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsWhich option gives the correct prime factorisation of (990)?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf the prime factorisation of (420) is (2^2\times3\times5\times7), how many even factors does (420) have?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf (p=2^2\times3\times11) and (q=2\times3^3\times11^2), what is the ratio of HCF to LCM of (p) and (q)?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsWhich smallest number should be multiplied by (2^3\times3^2\times5) to get a perfect square?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf (a=2^r\times3^2) has (15) positive factors, what is the value of (r)?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf (n=2^5\times3^4\times7), how many factors of (n) are not divisible by (6)?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf (m=2^3\times3^2\times5^2), how many factors of (m) are divisible by (10)?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsWhich option gives the correct prime factorisation of (756)?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf the HCF of two numbers is (2^2\times3) and their LCM is (2^5\times3^3\times5), what is the prime factorised form of their product?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf (y=2^4\times3^5\times11^2), by what smallest number should (y) be divided to make it a perfect cube?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf (x=2^2\times3^3\times5), what is the smallest multiplier that makes (x) a perfect square?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf a number has prime factorisation (2^9\times3^6\times7^3), what is its cube root?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf a number has prime factorisation (2^6\times3^4\times5^2), what is its square root?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsWhich statement correctly describes the uniqueness of prime factorisation?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf the product of two coprime numbers is (2^4\times3^2\times5), what is their HCF?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf (360=2^3\times3^2\times5), how many factors of (360) are odd?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf (2520=2^3\times3^2\times5\times7), how many positive factors of (2520) are divisible by (2)?Class 10Real NumbersPrime FactorisationLevel 7Expert