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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=2^6\times3^5\times5^3) and (b=2^4\times3^7\times7^2), what is the HCF of (a) and (b)?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 6Hard MathematicsWhich is the prime factorisation of 83160?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 6Hard MathematicsWhat is the prime factorisation of 14641?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Hard MathematicsIf (a=2^4\times3^3\times13) and (b=2^2\times3\times5\times13^2), what is the LCM of (a) and (b)?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Hard MathematicsIf (a=2^4\times3^3\times13) and (b=2^2\times3\times5\times13^2), what is the HCF of (a) and (b)?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Hard MathematicsWhich option gives all distinct prime factors of 30030 correctly?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Hard MathematicsWhich is the prime factorisation of 15876?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Hard MathematicsIf (n=2^4\times3^2\times5), by which of the following will (n) not be divisible?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Hard MathematicsIf (n=2^4\times3^3\times5\times11), by which number must (n) be divisible?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Hard MathematicsWhich is the prime factorisation of 14700?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Hard MathematicsWhat is the prime factorisation of 8192?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Hard MathematicsIf the two numbers are (2^4\times3^2) and (5^3\times7), which statement about them is correct?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Hard MathematicsIf a number has prime factorisation (2^8\times3^5\times11^2), how many distinct prime factors does it have?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Hard MathematicsIf (q=2^4\times3^b\times7^2) and (q=15876), what is the value of (b)?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Hard MathematicsIf (p=2^a\times3^3\times5^2) and (p=5400), what is the value of (a)?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Hard MathematicsWhat is the prime factorisation of 74088?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Hard MathematicsWhat is the smallest number by which 5400 must be multiplied to get a perfect cube?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Hard MathematicsWhat is the smallest positive number by which 3528 must be multiplied to get a perfect square?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Hard MathematicsIf (a=2^5\times3^4\times5^2) and (b=2^3\times3^6\times7^2), what is the LCM of (a) and (b)?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Hard MathematicsIf (a=2^5\times3^4\times5^2) and (b=2^3\times3^6\times7^2), what is the HCF of (a) and (b)?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Hard