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
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.
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.