In this paper, the integer N = pkq is called a -integer, if p and q are odd primes with almost the same size and k is a positive integer. Such integers were previously proposed for various cryptographic applications. The conditional factorization based on lattice theory for n-bit -integers is considered, and there is an algorithm in time polynomial in n to factor these integers if the least significant |(2k-1)n/(3k-1)(k-1)| bits of p are given.