I was reading this article called "On A Theorem of Frobenius: Solutions to $x^n=1$ in Finite Groups" by I.M. Isaacs and G.R. Robinson (www.jstor.org/stable/2324902).
In the third para of the first page they said that - " If $n>0$ is an integer, we shall write $n_p$ to denote the largest power of the prime $p$ which divides $n$. For example, $24_2=8$"
My question is that how can 8 be the largest power of 2 that divides 24, since $2^8=256$ ? I think I am getting confused somewhere... Can the above statement be thought of in any other way?