Table of Contents
4 squared, (4)2, is the number you get when multiplying 4 times 4.
It can also be looked at as exponentiation involving the base 4 and the exponent 2.
The term is usually pronounced four times four or four squared.
The square of 4 is a perfect square because the number is the product of the two equal integers 4.
It can be written as 4 × 4 or in exponential form.
Read on to learn everything about the number four squared, including useful identities.
4 × 4 = 16
The inverse operation of squaring four is extracting the square root of 4, explained here.
In the next section we elaborate on what is 4 squared and there you can also find our calculator.
What is 4 Squared?
A square is a flat shape with four equal sides; every angle is 90°.
Hence, a square with side length 4 has an area of 16.
4 squared equals the sum of the first 4 odd numbers:
In addition, the number can be calculated from 3 squared using the following identity:
n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(4)2 = 32 + 3 + 4 = 32 + 7 = 16
It can be also be computed from 3 squared with this identity:
n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(4)2 = 2 x 32 – 22 + 2 = 2 x 9 – 4 + 2 = 16
The difference between the perfect square of 4 and its predecessor, 3, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:
2 x 4 – 1 = 7 = (4)2 – 32 = 16 – 9 = 7
4 is even, and the square numbers of even numbers are also even: (2n)2 = 4n2.
Squares of even numbers like 4 are divisible by 4 for
If you want to calculate the square of any number, not only integers like 4, you can use our calculator above.
Enter your number; nothing else to be done.
A square similar to 4 is, for example: square of 6.
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The following table contains the squares of numbers close to 4.
By reading so far you know all about squaring the number 4 and calculating it using recursive methods, or as sum, product or by exponentiation.
4 squared is equivalent to 16.
If you were searching for what is 4 squared in math or if you typed whats 4 squared in the search engine you now have all the answers, too.
The same goes for searches like square4, and 4 to the 2nd power, just to name a few more examples people are often looking for.
Note that you can also find many perfect squares including 4 squared using the search form in the sidebar of this page.
Ahead is the summary of our information.
To sum up,
4 squared = 4 × 4 = (4)2 = 16.
The exponentiation form is mostly used to denote four squared.
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