The prime factors of 462 are: 2, 3, 7 and 11.
33 = 3 x 11, 44 = 4 x 11 so LCM = 3 x 4 x 11 = 132
3 x 5 x 11 x 11
If 2x + 5 = 11, then 11 - 5 = 2x 6 = 2x 3 = x
13
Prime factors are: 3, 3, 3, 11, 11 Other factors are combinations of the above primes, i.e. 3 x 3 = 9 3 x 3 x 3 = 27 3 x 11 = 33 3 x 3 x 11 = 99 11 x 11 = 121 3 x 3 x 3 x 11 = 297 3 x 11 x 11 = 363 3 x 3 x 11 x 11 = 1089
3x = 11 3x / 3 = 11 / 3 x = 3 2/3
891 = 3 * 3 * 3 * 3 * 11 = 3^4 * 11 3 x 3 x 3 x 3 x 11 = 891
3 x 3 x 3 x 11 x 11The prime factorization of 3267 is:3 X 3 X 3 X 11 X 11
x + 3 = 11 (to solve for x, subtract 3 fromeach side of the equation) x + 3 - 3 = 11 - 3 (then simplify) x = 8 (this is the answer)
The prime factorization of 297 is: 3 x 3 x 3 x 11
-14
244 = 2 x 2 x 61 363 = 3 x 11 x 11 605 = 5 x 11 x 11
3 x 3 x 3 x 11 x 11
198 18 x 11 3 x 6 x 11 3 x 2 x 3 x 11
Primes are 2, 2, 3, 3, 11 Others are combinations of the primes, i.e. 2 x 2 = 4 2 x 3 = 6 3 x 3 = 9 2 x 2 x 3 = 12 2 x 3 x 3 = 18 2 x 11 = 22 3 x 11 = 33 2 x 2 x 3 x 3 = 36 2 x 2 x 11 = 44 2 x 3 x 11 = 66 3 x 3 x 11 = 99 2 x 2 x 3 x 11 = 132 2 x 3 x 3 x 11 = 198
X - 3 = 11 Add 3 to both sides: X = 11 + 3 = 14