17: CUBING NUMBERS

SUTRA (Algorithm):

(SQUARE of NUMBER) x (NUMBER)

DEMONSTRATION:

93 = 92 x 9 = 81 x 9 = 729

EXAMPLES:

123 = 122 x 12 = 144 x 12 = 1728
253 = 252 x 25 = 625 x 25 = 15625
323 = 322 x 32 = 1024 x 32 = 32768
413 = 412 x 41 = 1681 x 41 = 68921
453 = 452 x 45 = 2025 x 45 = 91125
173 = 289 x 17 = 4913

473 = [(50x44)+9] x 47
473 = 2209 x 47 = 103823

183 = (2 x 9)3 = 729 x 8 = 5832
243 = (2 x 12)3 = 8 x 1728 = 13824

Verify by ACTUAL WORKING:

  1. 113 = 1331
  2. 233 = 12167
  3. 353 = 42875
  4. 223 = 10648
  5. 133 = 2197