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4.05.2008

Prime Numbers
A number which has exactly two factors. example 2, 3, 5.

Composite Numbers
A number which has more than two factors. Example 4, 6, 8.

16.05.2008

Is 1 a prime number?
No. 1 is neither prime nor composite because it has only 1 factor.


Is Every whole/integer no. rational ?
Yes, because every whole no. can be written with denominator 1 that is in the form of p/q where p and q are integers and q is not equal to zero.
examples 3 = 3/1, - 9 = - 9/1


Is Every rational no. a whole no./integer  ?
No. 7/5 is a rational number but not a whole no./ integer.

10 Feb 2009

Fundamental Theorem of Arithmatic

Every composite number can be expressed as a product of primes, and this factorisation is
unique, apart from the order in which the prime factors occur.


Correct proof of Fundamental Theorem of Arithmatic
Correct proof of Fundamental Theorem of Arithmatic was given by Carl Friedrich Gauss.


Relation of 2 numbers with their LCM and HCF
LCM
× HCF = Product of numbers



Theorem on Prime numbers and factors
Let n be a prime number. If n divides a^2, then n divides a, where
a is a positive integer.