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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=2^2\times5^3) and (B=2^4\times3^2\times5), how many factors will the LCM of (A) and (B) have?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf (A=2^3\times3^5) and (B=2^5\times3^2), how many factors does the HCF of (A) and (B) have?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf (N=2^4\times3^3\times5^2), how many factors of (N) are divisible by neither (2) nor (3)?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf (N=2^5\times3^4\times5^3), how many factors (d) are there such that (d^3) divides (N)?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf (N=2^6\times3^2\times7^2), how many factors (d) are there such that (d^2) also divides (N)?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf a number has prime factors (2,3,5) and total factors (60), which prime form is possible?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf (2^2\times3^3\times5^2) divided by (2^a\times3^b\times5^c) gives (3^2\times5), what is ((a,b,c))?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf (N=2^5\times3^3\times5^2), how many factors of (N) are divisible by (12)?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf (N=2^4\times3^2\times5^3), how many factors of (N) are divisible by (25)?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf the HCF of two numbers is (12) and their LCM is (180), what is the prime factorised form of their product?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf (2^3\times3^2\times5^x) has (96) total factors, what is the value of (x)?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf (N=2^2\times3^3\times5\times7^2), how many positive factors does (N) have?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsA number has prime factorisation (2^3\times3^2\times5^4). How many of its factors are divisible by (5)?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf (a=2^6\times3^4\times5^2) and (b=2^2\times3\times5), what is the prime factorised form of (\frac{a}{b})?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf (a=2^3\times3\times5) and (b=2^2\times3^2\times5^2), what is the prime factorised form of (a\times b)?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf (540=2^2\times3^3\times5), how many factors of (540) are perfect cubes?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf (180=2^2\times3^2\times5), how many factors of (180) are perfect squares?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsWhich option gives the correct prime factorisation of (1260)?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf (2^x\times3^2\times7^4) has (45) total factors, what is the value of (x)?Class 10Real NumbersPrime FactorisationLevel 7ExpertMathematicsIf (2^3\times3^x\times5^2) is a perfect square, which value of (x) is not possible?Class 10Real NumbersPrime FactorisationLevel 7Expert