How do you solve magic square 34?

All you have to do is add 5 to each of the 16 numbers in your new grid and it will work. Incidentally, if your target number is even, then those two side quadrants will also add up to the target number. If you want to make this look tougher, you can memorise your original magic square that adds up to 34.

How do you solve a magic square?

Magic Square Solution

  1. List the numbers in order from least to greatest on a sheet of paper.
  2. Add all nine of the numbers on your list up to get the total.
  3. Divide the total from Step 2 by 3.
  4. Go back to your list of numbers and the number in the very middle of that list will be placed in the center of the magic square.

How many solutions does a magic square have?

Fact: There are 880 magic squares, counting the symmetric ones only once. This is one of 880 possible squares: …………

How do you find the missing number in magic squares?

Find out the missing number of the magic square. 17 11 14 17 11

  1. ∴x+17+11=42x+28=42x=42−28x=14.
  2. ∴17+y+17=42⇒34+y=42⇒y=42−34y=8.
  3. ∴17+z+11=42⇒28+z=42⇒z=42−28z=14.
  4. ∴11+t+11=42⇒t+22=42⇒t=42−22t=20.

How do you work out a 4×4 magic square?

So, in the example of a 4×4 square:

  1. sum =
  2. sum =
  3. sum =
  4. sum =
  5. sum = 34.
  6. Hence, the magic constant for a 4×4 square is 68/2, or 34.
  7. All rows, columns, and diagonals must add up to this number.

How do you fill a 4×4 magic square?

So, in a 4×4 magic square, you would fill in the following:

  1. 15 and 14 in the center boxes in Row 1.
  2. 12 in the left-most box and 9 in the right-most box in Row 2.
  3. 8 in the left-most box and 5 in the right-most box in Row 3.
  4. 3 and 2 in the center boxes in Row 4.

Can a 4 by 4 magic square be completed with the numbers 1 through 16?

Magic Square (4×4) Can a 4 by 4 magic square be completed with the numbers 1 through 16 for entries? My Solutions. I first need to determine my target sum. The sum of all the values 1 through 16 is 136. Dividing this result gives 34, which is my target sum for each row, column, and diagonal. I then make an array of the numbers 1 through 16:

How to calculate the magic constant for a 4×4 square?

Calculate the magic constant. Use the same method as you would with odd-numbered or singly-even magic squares: the magic constant = [n * (n^2 + 1)] / 2, where n = the number of boxes per side. The magic constant for a 4×4 square is 68/2, or 34. All rows, columns, and diagonals must add up to this number.

Do you have to have a magic sum for a magic square?

In regard to magic sum, the problem of magic squares only requires the sum of each row, column and diagonal to be equal, it does not require the sum to be a particular value.

What’s the best way to solve a 3×3 magic square?

The only way to use these numbers to solve a 3×3 magic square is by excluding either your highest or your lowest number. Once you have done so, assign the lowest remaining value to 1, the next lowest to 2, the next to 3, and so on an so forth until you assign the highest remaining value to 9.