A formula is an equation used to derive/get a value, and the equation cannot be modified.
Many math formulas include only variables
Velocity = Distance / Time (or V = D / t);
The area of a rectangle is length x width or simply A = lw
Among others, the examples above do not include a number. (When one substitute a value as D, t, l or w, it's not a formula anymore)
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a prime number has only 2 factors
A formula is something which shows a relationship between two or more things. A formula will contain variables and may also contain constants too and it tells us the relationship between them. The answer to the question is that you square a number if, and only if, the relationship between the variables (or constants) requires the number to be squared. For example in the famous formula e = mc2 , here we must square the constant, the speed of light in a vacuum (c), in order to calculate energy (e). It has to be squared because that constitutes the relationship between the values and there is no option to ignore that.
'FOUR' is the only number in the English languagethat is spelt with the same number of letters as the number itself.
unique number: The number 1 has only one factor. (It is therefore unique.)
775 is the only number in all of math that equals 775.