FACTORS OF ANY GIVEN NUMBER. 
17 
be 92824 -witli a remainder; tlie next number is tberefore 
92825, and the square of tMs is 8,616,480,625. 
The difPerence between this and the given number is 
19826, which we see at once is not a square number, as 6 is 
the last figure, and the last figure but one is not odd. 
We then proceed as follows : — 
19826 
185651 add (2x92825) + 1 
205477 This is the difference between the given number 
and 928262 
185653 add (2x92825)+3 or 185651 + 2. 
391130 This is the difference between the given number 
and 928272 
185655 
676785 
185657 
762442 
185659 
948101 * 
185661 
1133762 
185663 
1319425 * 
185665 
1505090 
185667 
1690757 
185669 
Do. 
Do. 
Do. 
Do. 
Do. 
Do. 
Do. 
do. 
do. 
do. 
do. 
do. 
do. 
do. 
92828^ 
928292 
928302 
928312 
928322 
928332 
928342 
c 
