Definition Of Perfect Math
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28 positive factors are 1 2 4 7 14 28 is a perfect number because 1 2 4 7 14 28.
Definition of perfect math. A perfect number is a whole number which equals the sum of its proper divisors. 25 is also a perfect square because 52 25. Definition of perfect numbers meaning of perfect numbers a perfect number. A number made by squaring a whole number.
This is also known as its aliquot sum. A perfect number is a positive number that equals the sum of its divisors excluding itself. The next perfect number is 28. In mathematics a perfect number is one that equals the sum of its divisors excluding itself and 6 is the first perfect number in this sense because its divisors are 1 2 and 3.
For example is divisible by and and is also equal to the sum similarly is divisible by and and equal to indeed perfect numbers fascinate mathematicians and non mathematicians alike because their understandable definition contrasts with their complexity and mystery. A number is perfect when the sum of its divisors except the number itself equals the given number. This definition is ancient appearing as early as euclid s elements vii 22 where it is called τέλειος ἀριθμός perfect ideal or complete number. No odd perfect numbers are known but it.
A whole number that is equal to the sum of its positive factors except the number itself. Euclid also proved a formation rule ix 36 whereby q q 1 2 displaystyle q q 1 2 is an even perfect number whenever q displaystyle q is a prime of the form 2 p 1 displaystyle 2 p 1 for prime p displaystyle. Perfect square definition a rational number that is equal to the square of another rational number.
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