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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।

MathematicsWhat type of decimal expansion will (\frac{5}{2^3\times3\times5^2}) have?Class 10Real NumbersDecimal expansion of rational numbersLevel 19Medium MathematicsWhich statement is correct about the decimal expansion of (\frac{65}{312})?Class 10Real NumbersDecimal expansion of rational numbersLevel 19Medium MathematicsIf the denominator of a fraction in lowest form is (2^3\times5^5), after at most how many decimal places will its decimal expansion terminate?Class 10Real NumbersDecimal expansion of rational numbersLevel 19Medium MathematicsIf the denominator of a fraction in lowest form is (2^2\times5^4), after at most how many decimal places will the decimal expansion terminate?Class 10Real NumbersDecimal expansion of rational numbersLevel 21Easy MathematicsAfter how many places will the decimal expansion of (\frac{17}{200}) terminate?Class 10Real NumbersDecimal expansion of rational numbersLevel 21Easy MathematicsWhich of the following fractions will have a terminating decimal expansion?Class 10Real NumbersDecimal expansion of rational numbersLevel 21Easy MathematicsWhat type of decimal expansion will (\frac{64}{455}) have?Class 10Real NumbersDecimal expansion of rational numbersLevel 19Easy MathematicsIf (L) is the LCM of (102), (170), and (255), what is the value of (L)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 12Expert MathematicsIf (a) and (b) are coprime, (a=2^3\times7), and (ab=1736), what is (b)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 12Expert MathematicsThe prime factorisations of three numbers are (2^5\times3^2\times5), (2^3\times3^4\times7), and (2^4\times3\times11). What will be their HCF?Class 10Real NumbersHCF and LCM using prime factorisationLevel 12Expert MathematicsThe prime factorisations of two numbers are (2^6\times3^2\times5^3\times7) and (2^4\times3^5\times5\times11). What will be their HCF?Class 10Real NumbersHCF and LCM using prime factorisationLevel 12Expert MathematicsIf (L) is the LCM of (98), (147), and (245), what is the value of (L)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Expert MathematicsIf (a) and (b) are coprime, (a=2^4\times3), and (ab=2496), what is (b)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Expert MathematicsThe prime factorisations of three numbers are (2^4\times3^2\times5), (2^2\times3^3\times7), and (2^5\times3\times11). What will be their HCF?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Expert MathematicsThe prime factorisations of two numbers are (2^5\times3^3\times5^2) and (2^3\times3^5\times5\times11). What will be their HCF?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Expert MathematicsThe HCF of two numbers is (42) and their LCM is (2772). How many unordered pairs of such numbers are possible?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsIf (a) and (b) are coprime, (a=2^3\times5), and (ab=1720), what is (b)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsIf the HCF of (2^3\times3^2\times5), (2^4\times3\times5^3), and (2^2\times3^4\times7) is found, what will it be?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsIf the prime factorisations of two numbers are (2^6\times3^4\times5) and (2^4\times3^2\times5^3\times7), what will be their HCF?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsWhich option correctly gives the HCF of (2^5\times3^2\times11) and (2^3\times3^4\times11^2)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 13Hard