Try this. Note the comments in the code and see below for some references for further reading:

#!c:/perl/perl.exe
# ALWAYS use strict and warnings (see: strict, warnings)
use strict;
use warnings;

# In general, keep comments on separate lines from your code
# the first line in the world of perl.
print "My first Perl script\n\n";

# Declare the variables, and make them descriptive
my ($multiplier, $max_number);

# Get some input from the user
# Lets also validate it (we are only interested in "numbers")
# See perlre & perlretut
while (1) {
    print "Please tell me the multiplication table required: ";  
    chomp($multiplier=<STDIN>);
    # If it's a number, exit the loop
    last if $multiplier =~ /^\d+$/;
}

# Same as above
while (1) {
    # The following line wraps in a standard DOS window, so lets sprea
+d it
    # over a couple of lines
    print "Please tell me the multiplication Factor\n",
         "(if you put more than 100, make sure you have a big screen!)
+ : ";
    chomp($max_number=<STDIN>);
    last if $max_number =~ /^\d+$/;
}

# Now, print out the table
# Use a "perlish" loop rather than a C-style one
# By doing it this way, we don't need the loop variable
# And we can instead just operate on $_
print "\nThe table is:\n\n";
for (1 .. $max_number) {
    print "$_ X $multiplier = ", $_*$multiplier, "\n";
}
[download]

References: strict, warnings, chomp, perlre, perlretut, print

Cheers,
Darren :)