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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 (2^6\times3^5\times5^4\times7^3\times11^2\times13), how many distinct prime factors does it have?Class 10Real NumbersPrime FactorisationLevel 8ExpertMathematicsIf a number has prime factorisation (2^8\times3^6\times5^4\times7^3\times11^2), how many prime factors does it have with repetition?Class 10Real NumbersPrime FactorisationLevel 8ExpertMathematicsIf (n=2^9\times3^4\times5^5\times13^2), by which number must (n) be divisible?Class 10Real NumbersPrime FactorisationLevel 8ExpertMathematicsIf (n=2^8\times3^6\times5^2\times7^4), by which number will (n) not be divisible?Class 10Real NumbersPrime FactorisationLevel 8ExpertMathematicsIf the number is (2^5\times3^4\times5^2\times7^7), by which smallest number should it be multiplied to make a perfect cube?Class 10Real NumbersPrime FactorisationLevel 8ExpertMathematicsIf the number is (2^7\times3^4\times5^2\times11^3), by which smallest number should it be multiplied to make a perfect square?Class 10Real NumbersPrime FactorisationLevel 8ExpertMathematicsIf a number has prime factorisation (2^6\times3^5\times7^4\times11^3\times13^2), how many distinct prime factors does it have?Class 10Real NumbersPrime FactorisationLevel 9HardMathematicsIf a number has prime factorisation (2^9\times3^7\times5^4\times7^3\times11^2), how many prime factors does it have with repetition?Class 10Real NumbersPrime FactorisationLevel 9HardMathematicsIf (n=2^{10}\times3^5\times7^4\times13^2), by which number must (n) be divisible?Class 10Real NumbersPrime FactorisationLevel 9HardMathematicsIf (n=2^8\times3^6\times5^4\times11^2), by which number will (n) not be divisible?Class 10Real NumbersPrime FactorisationLevel 9HardMathematicsIf the number is (2^5\times3^7\times5^4\times13^2), by which smallest number should it be multiplied to make a perfect cube?Class 10Real NumbersPrime FactorisationLevel 9HardMathematicsIf the number is (2^8\times3^5\times5^2\times7^3), by which smallest number should it be multiplied to make a perfect square?Class 10Real NumbersPrime FactorisationLevel 9HardMathematicsIf a number has prime factorisation (2^4\times3^7\times11^3\times13^2), how many distinct prime factors does it have?Class 10Real NumbersPrime FactorisationLevel 7HardMathematicsIf a number has prime factorisation (2^6\times3^4\times5^3\times7^2), how many prime factors does it have with repetition?Class 10Real NumbersPrime FactorisationLevel 7HardMathematicsIf (n=2^6\times3^2\times5^5\times11), by which number must (n) be divisible?Class 10Real NumbersPrime FactorisationLevel 7HardMathematicsIf (n=2^5\times3^4\times5^2\times7), by which number will (n) not be divisible?Class 10Real NumbersPrime FactorisationLevel 7HardMathematicsIf the number is (2^5\times3^4\times5^2\times7), by which smallest number should it be multiplied to make a perfect cube?Class 10Real NumbersPrime FactorisationLevel 7HardMathematicsIf the number is (2^7\times3^2\times5^3\times11), by which smallest number should it be multiplied to make a perfect square?Class 10Real NumbersPrime FactorisationLevel 7HardMathematicsIf (27720=2^3\times3^2\times5\times7\times11), how many distinct prime factors does it have?Class 10Real NumbersPrime FactorisationLevel 7HardMathematicsIf a number has prime factorisation (2^7\times3^5\times11^2\times13), how many distinct prime factors does it have?Class 10Real NumbersPrime FactorisationLevel 8Hard