Table of Contents
64 squared, (64)2, is the number you get when multiplying 64 times 64.
It can also be looked at as exponentiation involving the base 64 and the exponent 2.
The term is usually pronounced sixty-four times sixty-four or sixty-four squared.
The square of 64 is a perfect square because the number is the product of the two equal integers 64.
It can be written as 64 × 64 or in exponential form.
Read on to learn everything about the number sixty-four squared, including useful identities.
64 × 64 = 4,096
The inverse operation of squaring sixty-four is extracting the square root of 64, explained here.
In the next section we elaborate on what is 64 squared and there you can also find our calculator.
What is 64 Squared?
A square is a flat shape with four equal sides; every angle is 90°.
Hence, a square with side length 64 has an area of 4,096.
64 squared equals the sum of the first 64 odd numbers:
In addition, the number can be calculated from 63 squared using the following identity:
n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(64)2 = 632 + 63 + 64 = 632 + 127 = 4,096
It can be also be computed from 63 squared with this identity:
n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(64)2 = 2 x 632 – 622 + 2 = 2 x 3969 – 3844 + 2 = 4,096
The difference between the perfect square of 64 and its predecessor, 63, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:
2 x 64 – 1 = 127 = (64)2 – 632 = 4,096 – 3969 = 127
64 is even, and the square numbers of even numbers are also even: (2n)2 = 4n2.
Squares of even numbers like 64 are divisible by 4 for
If you want to calculate the square of any number, not only integers like 64, you can use our calculator above.
Enter your number; nothing else to be done.
A square similar to 64 is, for example: square of 66.
If something remains unclear do not hesitate getting in touch with us.
We are constantly trying to improve our site, and truly appreciate your feedback.
The following table contains the squares of numbers close to 64.
By reading so far you know all about squaring the number 64 and calculating it using recursive methods, or as sum, product or by exponentiation.
64 squared is equivalent to 4,096.
If you were searching for what is 64 squared in math or if you typed whats 64 squared in the search engine you now have all the answers, too.
The same goes for searches like square64, and 64 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 64 squared using the search form in the sidebar of this page.
Ahead is the summary of our information.
To sum up,
64 squared = 64 × 64 = (64)2 = 4,096.
The exponentiation form is mostly used to denote sixty-four squared.
If this article about the square of 64 has been of help to you then please share it by means of the social buttons.
And should you want to leave a comment related to 64 squared use the form below.
Websites which are related to this one can be found in the “recommended sites” section in the sidebar.
Last, but not least, don’t forget to install our absolutely free PWA app (see menu or sidebar), or to bookmark us.
And come back soon!
Thanks for your visit.