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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{154}{2\cdot 5^3\cdot 7\cdot 11}) have?Class 10Real NumbersDecimal expansion of rational numbersLevel 21HardMathematicsIf (n) is the smallest positive integer for which the decimal expansion of (\frac{n}{2^3\cdot 3^2\cdot 5\cdot 7}) becomes terminating, what is the value of (n)?Class 10Real NumbersDecimal expansion of rational numbersLevel 20HardMathematicsFor (\frac{a}{2310}) to have a terminating decimal expansion, what factor must (a) contain at minimum?Class 10Real NumbersDecimal expansion of rational numbersLevel 20HardMathematicsAfter reducing (\frac{126}{1575}) to lowest form, after how many decimal places will its decimal expansion terminate?Class 10Real NumbersDecimal expansion of rational numbersLevel 20HardMathematicsWhen (0.125) is written as (\frac{p}{q}) in lowest form, what is the prime factorisation of (q)?Class 10Real NumbersDecimal expansion of rational numbersLevel 20HardMathematicsAfter how many decimal places will the decimal expansion of (\frac{18}{2^2\cdot 3^2\cdot 5^4}) terminate?Class 10Real NumbersDecimal expansion of rational numbersLevel 20HardMathematicsIf (\frac{m}{735}) has a terminating decimal expansion, what factor must (m) contain at minimum?Class 10Real NumbersDecimal expansion of rational numbersLevel 20HardMathematicsAfter how many decimal places will the decimal expansion of (\frac{75}{2^3\cdot 3\cdot 5^2}) terminate?Class 10Real NumbersDecimal expansion of rational numbersLevel 20HardMathematicsIf (\frac{m}{56}) has a terminating decimal expansion, which factor must (m) contain?Class 10Real NumbersDecimal expansion of rational numbersLevel 19HardMathematicsFor (\frac{a}{2^3\cdot 5^2\cdot 13}) to have a terminating decimal, what factor must (a) contain at minimum?Class 10Real NumbersDecimal expansion of rational numbersLevel 19HardMathematicsIf (\frac{n}{180}) has a terminating decimal expansion and the fraction is not necessarily in lowest form, what factor must (n) contain at minimum?Class 10Real NumbersDecimal expansion of rational numbersLevel 19HardMathematicsIdentify the type of decimal expansion of (\frac{63}{140}).Class 10Real NumbersDecimal expansion of rational numbersLevel 19HardMathematicsHow many digits after the decimal point will appear in the decimal expansion of (\frac{7}{1250}) in lowest form?Class 10Real NumbersDecimal expansion of rational numbersLevel 19HardMathematicsAfter how many places will the decimal expansion of (\frac{43}{400}) terminate?Class 10Real NumbersDecimal expansion of rational numbersLevel 21MediumMathematicsAfter how many decimal places will the decimal expansion of (\frac{9}{2000}) terminate?Class 10Real NumbersDecimal expansion of rational numbersLevel 21MediumMathematicsWithout doing division, after how many places will the decimal expansion of (\frac{19}{80}) terminate?Class 10Real NumbersDecimal expansion of rational numbersLevel 21MediumMathematicsChoose the correct option about the decimal expansion of (\frac{13}{75}).Class 10Real NumbersDecimal expansion of rational numbersLevel 20MediumMathematicsAfter how many places will the decimal expansion of (\frac{17}{160}) terminate?Class 10Real NumbersDecimal expansion of rational numbersLevel 20MediumMathematicsIf a fraction in lowest form has denominator (200), after at most how many decimal places will its decimal expansion terminate?Class 10Real NumbersDecimal expansion of rational numbersLevel 20MediumMathematicsWhich statement is correct about the decimal expansions of (\frac{3}{14}) and (\frac{9}{28})?Class 10Real NumbersDecimal expansion of rational numbersLevel 19Medium