1 x 196, 2 x 98, 4 x 49, 7 x 28, 14 x 14 = 196
2 x 2 x 7 = 28 2 x 7 x 7 = 98 2 x 2 x 7 x 7 = 196, the LCM
You're looking for factors of 196 that combine to make 28. If that's +196, the answer is (x - 14)(x - 14) or (x - 14)2 If that's -196, it gets ugly in a hurry.
Let's see in a prime factorization tree. 2, 98 2, 2, 49 2, 2, 7, 7. The answer is:2 to the power of 2 and 7 to the power of 2 ;/or 2 x 2 x 7 x 7
3xx-5883(xx-196)Factor (long):xx+0x-196axx+bx+ca=1b=0c=-196Multiply a and c:1*-196=-196Find multiples of ac that add up to b (d,e [ie de=ac, d+e=b]):-196=-1*2*2*7*7,-2*98, 2*-98-7*28, 7*-28-4*49, 4*-49-14*14,Rewrite axx+bx+c into axx+dx+ex+c:3(xx-14x+14x-196)Factor sets of terms (ie axx+dx, and ex+c):3(xx-14x+14x-196)3(x(x-14)+14(x-14))Combine like terms:3(x(x-14)+14(x-14))3(x-14)(x+14)Factor (short):3(xx+0x-196)Factors of -196, find which ones add up to 0-196=-1*2*2*7*7,-2*98, 2*-98-7*28, 7*-28-4*49, 4*-49-14*14,Rewrite in form of (x+d)(x+e)3(x+14)(x-14)Factor (shorter):-when a polynomial takes the form of xx-c, it can be factored into the form:(x+sqrt(c))(x-sqrt(c))sqrt(196)=14,-143(x+14)(x-14)
1 x 196, 2 x 98, 4 x 49, 7 x 28, 14 x 14 = 196
14 x 14 = 196 -14 x -14 = 196
Let the number be x.15 * x= x+196Then, 15x - x =196‹=› 14 x= 196‹=› x = 14.
The prime factors of 196 are: 2, 7
2 x 2 x 7 x 7 = 196
2 x 2 x 7 x 7 = 196
The factor pairs of 196 are: 1 x 196 2 x 98 4 x 49 7 x 28 14 x 14
196 = 2 x 2 x 7 x 7 = 22 x 72
1 x 196 = 196
These all give you 196: 1 x 196, 2 x 98, 4 x 49, 7 x 28, 14 x 14
The factor pairs of 196 are 1 x 196, 2 x 98, 4 x 49, 7 x 28, and 14 x 14.Finding the prime factors of 196:196/2=9898/2=4949/7=7=2x2x7x7The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196.
The square root of 196 is 14, so 14 times 14 equals 196. Another way to express this is that 196 is a perfect square, specifically 14 squared. This means that 14 multiplied by itself equals 196.