SOLUTION: Find the smallest number which when divided by 4 leaves the remainder 3. 147 291 141 144

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Find the smallest number which when divided by 4 leaves the remainder 3. 147 291 141 144       Log On


   



Question 977956: Find the smallest number which when divided by 4 leaves the remainder 3.
147
291
141
144

Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
147
291
141
144
We try the smallest in the list, 141 by dividing 141 by 4 to see if it
leaves the remainder 3: 

   35
4)141
  12
   21
   20
    1   <-- no, it doesn't leave remainder 3, it leaves remainder 1,  So the
            answer is not 141.

So we try the next higher one in the list, 144 by dividing 144 by 4 to see if it
leaves the remainder 3. 

   36
4)144
  12
   24
   24
    0   <-- no, it doesn't leave remainder 3, it leaves remainder 0,  So the
            answer is not 144.

So we try the next higher one in the list, 147 by dividing 147 by 4 to see if it
leaves the remainder 3. 

   36
4)147
  12
   27
   24
    3   <-- hey, right!  It leaves a remainder of 3, so the answer is 147.

No need to try 291.  

Edwin