Mathematics - Functions Question with Solution | TestHub

A function ' f ' defined as $f(\alpha )=(-1{)}^{{\alpha }_1}+(-1{)}^{{\alpha }_2}+(-1{)}^{{\alpha }_3}+\dots \dots \dots +(-1{)}^{{\alpha }_k}$ where $\alpha \in \mathbb{N}$, and ${\alpha }_1,{\alpha }_2$ , ${\alpha }_k$ are all divisors of $\alpha$ including 1 and itself such that ${\alpha }_1,{\alpha }_2\dots \dots {\alpha }_k=\alpha$ and ${\alpha }_1,{\alpha }_2\dots \dots {\alpha }_k\in \mathbb{N}$ If $f(\alpha )=4$ and $\alpha <60$ then number of possible values of $\alpha$.