39 = 3 x 13 52 = 2^2 x 13 169 = 13^2 LCM is: 2^2 x 3 x 13^2 = 2028
2 x 2 x 13 x w
-x2 - 11x + 26= -x2 - 13x + 2x + 26= (2x - x2) + (26 - 13x)= x(2 - x) + 13(2 - x)= (2 - x)(x + 13)
x^2-15x+14=0 Delta = (-15)^2-4*1*14 = 169 = 13^2 so x=(15-13)/2=1 or x=(15+13)/2=14
x^2 + (x+1 )^2 =365 x^2 +x^2 + 2x +1 =365 2x^2 + 2x = 364 x^2 + x = 182 = (x- 13)(x + 14) x =13, so integers are 13 and 14, squares 169 and 196, which total 365.
1 x 52, 2 x 26, 4 x 13, 13 x 4, 26 x 2, 52 x 1
13 = 13 is a prime number 52 = 2 x 2 x 13
Prime factors are: 2, 2, 13, 13 Others can be any combination of the primes, i.e. 2 x 2 = 4 2 x 13 = 26 2 x 2 x 13 = 52 13 x 13 = 169 2 x 13 x 13 = 338
2 x 2 x 13 x 13
Prime factors: 2, 2, 2, 3, 5, 13 Other factors are combinations of the primes, i.e. 2 x 2 = 4 2 x 3 = 6 2 x 2 x 2 = 8 2 x 5 = 10 2 x 2 x 3 = 12 3 x 5 = 15 2 x 2x 5 = 20 2 x 2 x 2 x 3 = 24 2 x 13 = 26 2 x 3 x 5 = 30 3 x 13 = 39 2 x 2 x 2 x 5 = 40 2 x 2 x 13 = 52 2 x 2 x 3 x 5 = 60 5 x 13 = 65 2 x 3 x 13 = 78 2 x 2 x 2 x 13 = 104 2 x 2 x 2 x 3 x 5 = 120 2 x 5 x 13 = 130 2 x 2 x 3 x 13 = 156 3 x 5 x 13 = 195 2 x 2 x 5 x 13 = 260 2 x 2 x 2 x 3 x 13 = 312 2 x 3 x 5 x 13 = 390 2 x 2 x 2 x 5 x 13 = 520 2 x 2 x 3 x 5 x 13 = 780
3 x 13 = 39 2 x 2 x 13 = 52 13 x 13 = 169 2 x 2 x 3 x 13 x 13 = 2028, the LCM
Prime factors are 2, 2, 3, 3, 3, 13 (Other) Factors are combinations of the above, i.e. 2 x 2 = 4 2 x 3 = 6 2 x 13 = 26 3 x 13 = 39 2 x 2 x 3 = 12 2 x 2 x 13 = 52 2 x 3 x 3 = 18 2 x 3 x 13 = 78 3 x 3 x 13 = 117 2 x 2 x 3 x 3 = 36 2 x 2 x 3 x 13 = 156 2 x 3 x 3 x 13 = 234 3 x 3 x 3 x 13 = 351 2 x 2 x 3 x 3 x 3 = 108 2 x 2 x 3 x 3 x 13 = 468 2 x 3 x 3 x 3 x 13 = 702
520 = 2 x 2 x 2 x 5 x 13 OR 2^3 x 5 x 13
Prime factors are 2, 2, 2, 2, 5, 13 Others are combinations of the prime factors, i.e. 2 x 2 = 4 2 x 2 x 2 = 8 2 x 5 = 10 2 x 2 x 2 x 2 = 16 2 x 2 x 5 = 20 2 x 13 = 26 2 x 2 x 2 x 5 = 40 2 x 2 x 13 = 52 5 x 13 = 65 2 x 2 x 2 x 2 x 5 = 80 2 x 2 x 2 x 13 = 104 2 x 5 x 13 = 130 2 x 2 x 2 x 2 x 13 = 208 2 x 2 x 5 x 13 = 260 2 x 2 x 2 x 5 x 13 = 520
2 x 13 = 26 3 x 13 = 39 2 x 3 x 13 = 78 2 x 11 x 13 x 13 x 71 = 263978
13 *2 to the second power
52 = 2 x 2 x 13 OR 22 x 13