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Class 10MathematicsReal NumbersDecimal expansion of rational numbersExpertLevel 19
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If (\frac{a}{2^3\cdot 3^2\cdot 5^4\cdot 17}) is to have a terminating decimal, what factor must (a) contain at minimum?

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Answer and explanation

Correct answer: (153)

The factors (3^2) and (17) must be removed from the reduced denominator, so the minimum factor is (3^2\cdot 17=153). Factors (2) and (5) may remain.

Related tags

Minimum-FactorPrime-FactorisationTerminating-ConditionExpert

Frequently asked questions

What is the correct answer to this question?

(153)

Why is this the correct answer?

The factors (3^2) and (17) must be removed from the reduced denominator, so the minimum factor is (3^2\cdot 17=153). Factors (2) and (5) may remain.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Decimal expansion of rational numbers.

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