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Counting numbers are known as natural numbers. 1, 2, 3, 4, 5,…., etc., are all natural numbers.
All natural numbers together with 0 form the set of all whole numbers. Clearly, every natural number is a whole number. And, 0 is the only whole number that is not a natural number.
All natural numbers, 0 and negatives of natural numbers form the set of all integers.
so, …., –4, –3, –2, –1, 0, 1, 2, 3, 4, …. etc., are all integers.Read More...
Theory of Numbers:
(1) Every number is of one of the forms, 5n, 5n ± 1, 5n ± 2.
(2) Every square number is of one of the forms 5n, 5n ± 1.
(3) The square of every odd number is of the form 8n + 1.
(4) Sum on 'n' consucutive number is always divisible by 'n' if 'n' is odd and sum of 'n' consecutive numbers is never divisible by 'n' if 'n' is even.Read More...