127 Squared

127 squared, (127)², is the number you get when multiplying 127 times 127.

It can also be looked at as exponentiation involving the base 127 and the exponent 2.

The term is usually pronounced one hundred twenty-seven times one hundred twenty-seven or one hundred twenty-seven squared.

The square of 127 is a perfect square because the number is the product of the two equal integers 127.

It can be written as 127 × 127 or in exponential form.

Read on to learn everything about the number one hundred twenty-seven squared, including useful identities.

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(127)² = 16,129
127 × 127 = 16,129
The inverse operation of squaring one hundred twenty-seven is extracting the square root of 127, explained here.

In the next section we elaborate on what is 127 squared and there you can also find our calculator.

What is 127 Squared?

A square is a flat shape with four equal sides; every angle is 90°.

Hence, a square with side length 127 has an area of 16,129.

127 squared equals the sum of the first 127 odd numbers:

In addition, the number can be calculated from 126 squared using the following identity:

n² = (n − 1)² + (n − 1) + n = (n − 1)² + (2n − 1)
(127)² = 126² + 126 + 127 = 126² + 253 = 16,129

It can be also be computed from 126 squared with this identity:

n² = 2 x (n − 1)² − (n − 2)² + 2
(127)² = 2 x 126² – 125² + 2 = 2 x 15876 – 15625 + 2 = 16,129

The difference between the perfect square of 127 and its predecessor, 126, can be calculated with the identity n² − (n − 1)² = 2n − 1:

2 x 127 – 1 = 253 = (127)² – 126² = 16,129 – 15876 = 253

127 is odd, and the square numbers of odd numbers are also odd: (2n + 1)² = 4 × (n² + n) + 1.

Squares of odd numbers like 127 are of the form 8n + 1, because (2n + 1)² = 4n × (n + 1) + 1;
n × (n + 1) is an even number.

If you want to calculate the square of any number, not only integers like 127, you can use our calculator above.

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A square similar to 127 is, for example: square of 129.


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The following table contains the squares of numbers close to 127.

Table

One Hundred Twenty-Seven Squared

By reading so far you know all about squaring the number 127 and calculating it using recursive methods, or as sum, product or by exponentiation.

127 squared is equivalent to 16,129.

If you were searching for what is 127 squared in math or if you typed whats 127 squared in the search engine you now have all the answers, too.

The same goes for searches like square127, and 127 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 127 squared using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

127 squared = 127 × 127 = (127)² = 16,129.

The exponentiation form is mostly used to denote one hundred twenty-seven squared.

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– Article written by Mark, last updated on November 26th, 2023