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Prime Exponents

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\times3^2\times5^2\times7^2), how many prime factors does it have if repetition is counted?Class 10Real NumbersPrime FactorisationLevel 8Hard MathematicsIf (n=2^8\times3^3\times5^5), by which number must (n) be divisible?Class 10Real NumbersPrime FactorisationLevel 8Hard MathematicsIf (n=2^6\times3^4\times5^2\times7), by which number will (n) not be divisible?Class 10Real NumbersPrime FactorisationLevel 8Hard MathematicsIf the number is (2^4\times3^2\times5^3\times7), by which smallest number should it be multiplied to make a perfect cube?Class 10Real NumbersPrime FactorisationLevel 8Hard MathematicsIf the number is (2^5\times3^4\times5^2\times7), by which smallest number should it be multiplied to make a perfect square?Class 10Real NumbersPrime FactorisationLevel 8Hard MathematicsIf (n=2^{12}\times3^{11}\times5^8), by which smallest number should (n) be divided to make it a perfect cube?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 6Expert MathematicsIf a number has prime factorisation (2^{12}\times3^8\times5^5), what is the smallest number by which it must be multiplied to make a perfect cube?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 6Expert MathematicsIf (N=2^{11}\times3^8\times5^5\times7^2), by which smallest number must (N) be multiplied to make it a perfect cube?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 6Expert MathematicsIf (N=2^{13}\times3^8\times5^5\times7^2), by which smallest number must (N) be multiplied to make it a perfect square?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 6Expert MathematicsWhat is the smallest positive number by which 86400 must be multiplied to get a perfect square?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 6Expert MathematicsIf (n=2^{11}\times3^{10}\times5^7), by which smallest number should (n) be divided to make it a perfect cube?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Expert MathematicsIf a number has prime factorisation (2^{11}\times3^7\times5^4), what is the smallest number by which it must be multiplied to make a perfect cube?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Expert MathematicsIf (N=2^{10}\times3^8\times5^5\times7), by which smallest number must (N) be multiplied to make it a perfect cube?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Expert MathematicsIf (N=2^{11}\times3^8\times5^7\times13^2), by which smallest number must (N) be multiplied to make it a perfect square?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Expert MathematicsWhat is the smallest positive number by which 21600 must be multiplied to get a perfect square?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Expert MathematicsIf (n=2^{10}\times3^8\times5^6), by which smallest number should (n) be divided to make it a perfect cube?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 4Expert MathematicsIf a number has prime factorisation (2^{10}\times3^5\times5^4), what is the smallest number by which it must be multiplied to make a perfect cube?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 4Expert MathematicsIf (N=2^8\times3^7\times5^4\times7^2), by which smallest number must (N) be multiplied to make it a perfect cube?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 4Expert MathematicsIf (N=2^9\times3^6\times5^5\times11^3), by which smallest number must (N) be multiplied to make it a perfect square?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 4Expert MathematicsWhat is the smallest positive number by which 43200 must be multiplied to get a perfect square?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 4Expert