The number of divisors of the form 2 n + 1 ( n ≥ 1 ) of the integer 120 is

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MathematicsPermutation & CombinationFundamental PrincipleEasy2 minQB

MathematicsEasyinteger

The number of divisors of the form $2 n + 1 (n \geq 1)$ of the integer 120 is

Answer:

Solution:

240 is divisible by $4 n + 2$ or 120 is divisible by $2 n + 1$ .

Number of the form ( $2 n + 1$ ), $n \in I$ are all odd natural numbers.

Thus we have to find al odd numbers dividing 120.

These numbers are $1, 3, 5, 15$ .

Hence, number of divisors $= 4$ .

Stream:JEESubject:MathematicsTopic:Permutation & CombinationSubtopic:Fundamental Principle

⏱ 2mℹ️ Source: QB

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