2 x 2 x 43 = 172
1 x 43, 43 x 1
344 = 2 x 2 x 2 x 43
2 x 2 x 3 x 43 = 516
1 x 946, 2 x 473, 11 x 86, 22 x 43, 43 x 22, 86 x 11, 473 x 2, 946 x 1 = 946
2 x 2 x 43 = 172
1 x 86, 2 x 43.
1 x 43, 43 x 1
1 x 43, 43 x 1
2 x 43 x (-6) = -516
The prime factors are: 2, 3, and 43. 1548 = 2 x 2 x 3 x 3 x 43
1, 2, 43, 86 (1 x 86, 2 x 43).
1 x 86, 2 x 43, 43 x 2, 86 x 1 = 86
1, 2, 43, 86: 1 x 86, 2 x 43.
2 x 2 x 2 x 43
2 x 2 x 2 x 43 = 344
Birds and beasts have one head each. So totally there are 43 birds & beasts. Let number of birds = x number of beasts = (43-x) Birds have 2 feet and beasts have 4 feet. Total feet = 2 * no of birds + 4 * no of beasts = 2 * x + 4 * (43 -x) = 172 - 2*x (on simplification) = 120 (given) 172 - 2*x = 120 2*x = 172 - 120 = 52 x = 52/2 = 26 number of birds = x = 26 number of beasts = 43 -x = 43 -26 = 17 (check: 26 + 17 = 43 ; 26*2 + 17*4 = 52 + 68 = 120)