NUMBERS - SPECIALITY

SPECIALITY OF NUMBERS -- 1

1. THE PRODUCT OF ANY TWO CONSECUTIVE NUMBERS 
    IS ALWAYS DIVISIBLE BY 2 (One of these two numbers is even)
             
               Examples :  2*3         divisible by 2
                                  56*57      divisible by 2
                                  147*148  divisible by 2

2. THE PRODUCT OF ANY THREE CONSECUTIVE NUMBERS 
    IS ALWAYS DIVISIBLE BY 6

               Examples :  1*2*3            divisible by 6
                                  34*35*36       divisible by 6
                                  157*158*159 divisible by 6

3. THE PRODUCT OF ANY FOUR CONSECUTIVE NUMBERS 
    IS ALWAYS DIVISIBLE BY 24

               Examples : 1*2*3*4                divisible by 24
                                 45*46*47*48          divisible by 24
                                 179*180*181*182  divisible by 24

4. THE PRODUCT OF ANY FIVE CONSECUTIVE NUMBERS 
    IS ALWAYS DIVISIBLE BY 120

              Examples : 1*2*3*4*5          divisible by 120
                                23*24*25*26*27 divisible by 120
                                77*78*79*80*81 divisible by 120