In Asexual reproduction only one parent is required, unlike sexual reproduction which needs two parents. Since there is only one parent, there is no fusion of gametes and no mixing of genetic information. As a result, the offspring are genetically identical to the parent and to each other.
The parent cell simply divides to form two daughter cells that are identical to the parent. In sexual reproduction, meiosis produces haploid gametes that fuse during fertilization to produce a diploid zygote.
Haploid gametes are not involved in asexual reproduction. A parent passes all of its genetic material to the next generation, and hence the number of chromosomes remains same.
Result: The number of chromosomes remains same in asexual reproduction.