Do large numbers have more factors than smaller numbers

Not necessarily . For example a large number might be a multiple of 2 large prime numbers. For example  654,481  is  809^2   * 809 is prime) so this has only 2 factors. 6 has more factors than 654,481.

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b