ON INTRODUCED ANIMALS AND PLANTS. 



167 



them; the quotient in all instances consisting of the omitted elements. 

 Further, on the introduction of a new quantity, multiplying the uni- 

 versal number by the same, will maintain these results. 



In the following examples, the element 11 is left out of the calcu- 

 lation; as the remainder, 210 (=2x3x5x7), forms a quantity easily 

 multiplied, and easily kept in mind : 



DIVISOR. 



DIVIDEND. 







QUOTIENT. 



7 



210 





(2 



X 3x5 = )30 



14 ( = 7x2) 



210 







(3x5=) 15 



21 ( = 7X3) 



210 







(2x5=) 10 



28 ( = 7x4 = 7x2x2) 



(X2 = ) 420 







(3x5 = ) 15 



35 ( = 7X5) 



210 







(2X3=) 6 



42 ( = 7X6 = 7X2X3) 



210 







5 



49 (=7X7) 



(X7 = ) 1470 





(2 



X 3x5 = )30 



56 ( = 7x8 = 7x2x2x2) 



(X2x2 = ) 840 







(3X5 = ) 15 



63 ( = 7x9 = 7x3x3) 



(X3 = ) 630 







(2 x 5 = ) 10 



70 ( = 7x10 = 7 X2x5) 



210 







3 



77 ( = 7X11) 



(X 11=) 2310 





(2 



X 3x5 = )30 



84 ( = 7x12 = 7x2 X3 x 2) 



(X2=) 420 







5 



91 ( = 7X13) 



(X 13 = ) 2730 





(2 



X 3 x5 = )30 



98 ( = 7x14 = 7x2x7) 



(X 7 = ) 1470 







(3 x5 = )15 



105 ( = 7x15 = 7x3x5) 



210 







2; 



io, with the number 6, and its multiples ; 









DIVISOR. 



DIVIDEND. 







QUOTIENT. 



6 ( = 3x2) 





210 





(5x7=) 35 



12 (-— 6x2 = 3 X2X2) 



(X2=) 



420 





(5x7 = ) 35 



18( = 6x3 = 3x2x3) 



(X3=) 



630 





(5x7 = ) 35 



24 ( = 6x4 = 3x2 X2 X 2) 



(X2X2=) 



840 





(5x7 = ) 35 



30 ( = 6x5 = 3x2x5) 





210 





7 



36 ( = 6x6 = 3x2x2x3) 



(X 2X3=) 1260 





(5 X 7 = )35 



42 ( = 6x7 = 3 X2X7) 





210 





5 



48 ( = 6x8 = 3x2x2x2x2) 



(X2x2x2 = ) 1680 





(5x7 = ) 35 



54 ( = 6x9 = 3x2x3x3) 



(X 3x3=) 1890 





(5x7 = )35 



60 ( = 6x10 = 3 X2x5x2) 



(X2=) 



420 





7 



66 ( = 6x11=3x2x11) 



(x 11=) 2310 





(5x7 = ) 35 



72 ( = 6x12 = 3x2x2x2x3) 



(x 2 x 2 x 3 = ) 2520 





(5 x7=)35 



78 ( = 6 X 13 = 3x2 x 13) 



(x 13 = ) 2730 





(5x7 = )35 



84 ( = 6x14 = 3x2x7x2) 



(X2 = ) 



420 





5 



90 ( = 6x15 = 3x2x5x3) 



(x3=) 



630 





7; 



in like manner, we may go through the remainder of the Multiplica- 

 tion Table; and mentally supply divisible numbers, for quantities 

 that at first appear inconveniently large. 



