  This paper is a contribution to the description of some congruences on the
odd prime factors of the class number of the number fields. An example of
results obtained is: Let L/Q be a finite Galois solvable extension with
[L:Q]=N, where N > 1 is odd. Let h(L) be the class number of L. Suppose that
h(L) > 1. Let p be a prime dividing h(L). Let r be the rank of the p-class
group of L. Then the product p\times (p^r-1)\times(p^{r-1}-1)\times ....\times
(p-1) and N are not coprime. The proofs are elementary.
