  The paper describes a prime factorization of the Catalan numbers. Odd prime
factors are distributed in layers in accordance with Legendre's formula. The
content of each layer is a network of the intervals, Chebyshev's Segments. The
primes of Segment are not calculated and are selected on the basis of its
bounds. Layers contain non-repeated primes. Repeated factors are formed when
primes are duplicated among different layers. The paper slightly modifies
Kummer's theorem for the selection of individual prime factors, also starting
from the boundaries of Segments. In conclusion, the reader is offered a
software service for factorization of the Catalan number with index up to
$10^8$
