## How many 4×4 magic squares are there?

Unlike the 3×3 square there is not just one conclusion for the distribution of the numbers 1 to 16 in a 4×4 square. Fact: There are 880 magic squares, counting the symmetric ones only once.

**What does a 4×4 magic square add up to?**

Making a magic square before an audience, if done properly, can be an impressive demonstration of one’s apparent command of higher-level mathematics. I’ll show you how to do this, using a seemingly more difficult 4×4 grid. This magic square adds up to 34.

**What is the trick of magic square?**

Fill in the remaining numbers using an up-one, right-one pattern. You will always fill in the numbers sequentially (1, 2, 3, 4, etc.) by moving up one row, then one column to the right. You’ll notice immediately that in order to place the number 2, you’ll move above the top row, off the magic square.

### What is a 4×4 magic square?

The 4×4 magic square consists of 4 rows which multiplied by 4 columns is 16 cells. A pure magic 4×4 square contains the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 and 16. The magic square is magic, because the sum of the numbers of each row, each column and both diagonals always give the same result.

**What is 4×4 magic square?**

What is a 4×4 magic square? The 4×4 magic square is square, because it has as many rows (from left to right = horizontal) as columns (from top to bottom = vertical). The 4×4 magic square consists of 4 rows which multiplied by 4 columns is 16 cells. The 4×4 magic square must contain 16 different numbers.

**What is the magic number of a 4×4 magic square?**

The 4 x 4 Magic Square to the left is the “basic” 4 x 4 Magic Square. It uses the numbers 1 to 16 inclusive, and its “Magic Total” is 34, as predicted by the formula shown on another page.

#### What is a 4×4 pan-magic square?

This reveals the underlying structure of a 4×4 Pan-Magic Square – one in which all of the diagonals are magic. This method only produces pan-magic squares. You can change the sequence of the numbers you insert to get different squares.

**What is the magic constant of a 4×4 puzzle?**

The sum is referred to as the magic constant. The normal variations of these puzzles (in other words, 4×4 puzzles that contain only 1-16 in their cells) have a magic constant of 34 no matter how the numbers are arranged. You’ll find these puzzles are appropriate for grade 3 and grade 4 kids who have an interest in logic puzzles.

**What are 3×3 magic squares?**

The 3×3 magic squares on these puzzle worksheets are the least complex form of magic squares you can solve. There are normal versions (with numbers 1-9) and non-normal versions that produce a different “magic number” when solved. Give them a try before moving on to the 4×4 magic squares!

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