  We analyze the single subleading soft graviton theorem in $(d+1)$ dimensions
under compactification on $S^1$. This produces the single soft theorems for the
graviton, vector and scalar fields in $d$ dimension. For the compactification
of $11$-dimensional supergravity theory, this gives the soft factorization
properties of the single graviton, dilaton and RR 1-form fields in type IIA
string theory in ten dimensions. For the case of the soft vector field, we also
explicitly check the result obtained from compactification by computing the
amplitudes with external massive spin two and massless finite energy states
interacting with soft vector field. The former are the Kaluza-Klein excitations
of the $d+1$ dimensional metric. Describing the interaction of the KK-modes
with the vector field at each level by the minimally coupled Fierz-Pauli
Lagrangian, we find agreement with the results obtained from the
compactification if the gyromagnetic ratio in the minimally coupled Fierz-Pauli
Lagrangian is taken to be $g=1$.
