Prime numbers and Composite numbers
A prime number is one that has only two factors namely 1 and itself. and a composite number has factors besides 1 and itsel..
Numbers prime to each other
Such numbers have only 1 as common factor even though they may be composite numbers e.g., 21 and 32 are prime to each other. We generally write (21, 32) = 1, which means 21 and 32 are prime to each other i.e., they have only one factor in common vi..
the only positive number that is neither prime nor composite
1 is neither prime nor composite. 2 is the least even prime number. 3 is the least odd prime number. If there is only one composite number between two primes,the primes said to be twin pri..
Introduction
The sets of numbers which every student must remember are: The set of natural numbers, The set of whole numbers, The set of integers, The set of rational numbers, The set of irrational numbers, Set of Real Numbers, Consecutive intege..
Composite number
It has factors other than one and itself, e.g., 21 is a composite number..
Composition of ratios
Compounded ratio - If two or more ratios are multiplied term-wise, the ratio thus formed is called their compounded rati..
Prime numbers
It can only be divided by one or itself i.e., a prime number has no factors other than 1 and itself. e.g., 2, 3, 5, 7, 11, 13, 17, 19, 23, are examples of prime numbers..
Method of finding Prime numbers
We can find out the prime numbers using, The Sieve of Eratosthenes method..
Expansions for Positive Integral Index
Some particular expansions for Positive Integral Index - For n N, we have: a) (a - b) n (a +(- b))..
Some particular expansions for Positive Integral Index - For n N, we have: a) (a - b) n (a +(- b))..Middle Terms for Positive Integral Index
Middle Terms for Positive Integral Index - The number of terms in the expansion of (a + b) n depends on the index n. The index n is either even or o..
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