What are Even and Odd Numbers Video Lecture - Advance Learner Course (Maths)

hello friends this video on playing with
numbers but eight is brought to you by
exam feel calm know about your um exam
now here you might have faced a
challenge you might feel that it becomes
difficult for bigger numbers like 1 0
for let's say you ask me whether one not
food is a prime number or composit
tempered now if I start if you know from
1 and if I have to continue till 100 for
trying to see whether a 104 is divisible
by each of the numbers or not then it is
going to be a very tedious task so it
would become very difficult to decide
whether 1 0 4 is a prime number or a
composite number so what do we do so in
order to solve this issue in order to
find out quickly whether a particular
number is divisible like another number
or not we quickly introduce the concept
of odd and even numbers now you might
say that how is the concept of odd even
number is relatively prime composite
numbers so we will quickly understand
that but before that let us understand
what are or numbers and what are even
numbers the even numbers are those
numbers which are divisible by 2 and our
numbers are those which are not
divisible by 2 now what do we mean by
the visible vital that means that number
can be divided into two equal parts that
is the meaning of divisible by 2 let us
take examples let us consider a number
10 now do you think that n can be
divided into two equal parts yes you can
divide it as 5 5 so this I find this I
find it is a balanced where both the
sides are equal so 10 can be divided
into two equal parts and that that is
because 10 is divisible by 2
so if you divide them by two what do you
get you get the quotient as five so then
can be divided into two equal parts
therefore ten is divisible by two
similarly let us talk about the number
two can you divide it into two equal
parts yes one one you talk about
fifty-fifty can be divided into two
equal parts yes 25 25 so 25 plus 25 is
50 so basically all even numbers are
divisible by 2 so examples of even
numbers would be like 50 628 100 100 to
110 so these are all examples of even
numbers because these are divisible by 2
now how are even numbers how is the
concept of even number linked to the
prime composite number now these even
numbers will not be prime numbers they
can never be higher numbers why because
the even numbers itself means that they
are divisible by 2 now if they are
divisible by 2 that means 2 is one of
the factors so that means the number has
more than two factors because every
number has two factors and common models
one and the other is the number itself
so if 2 is also a factor that means that
number has more than two factors
therefore the number is composite now
the only exception to this is the number
2 so 2 is the only number which is a
prime number and which is also an even
number so remember this 2 is the only
exception which is an even prime number
other than that you the prime numbers
stand only the odd numbers but again
that does not mean that all odd numbers
will be prime numbers that is also not
true so let us look at the odd numbers
and we find that the odd numbers may or
may not be prime numbers so let us look
at some examples it is considered the
number 7 7 is not divisible by 2
therefore 7 is an odd number
9 is also a lot divisible writings on
angles also an odd number now let us see
if both of these are prime numbers or
not
so 7 is a prime number because it has
only two factors that is 1 and 7 but
when you look at buying 9 is a composite
number that's because it has multiple
factors like 1 3 9 therefore it has more
than two factors therefore it is a
composite number
so all numbers can be prime numbers odd
numbers can also be composite numbers
but when it comes to even numbers they
are always composite numbers except the
number 2 now you might ask that if I am
given a big number for example if I am
given a number like this - who won 4-0
so how do I know if this number is even
or order now there is a very simple
trick to find out if a number is
divisible by you or not so all that you
need to do is you need to see the digit
that is present in the one space or the
unit's place now this is the unit's
place this is 10 space this is hundreds
trees this is thousands place so I
observe the number of serve the digit
that is present in the hundreds place if
in the unit stays you have one of these
digits 0 2 4 6 8 so if you have one of
these digits in the unit's place that
means the number is even that in fact
that means that the number is divisible
by 2 to be visible by 2 means an even
number so with this simple trick doesn't
matter how much you will beat the
numbered maybe you can quickly decide
whether it is an even number and if it
is an even number it is definitely going
to be a composite number
so now finding prime and composite
number has become little easier all you
need to do one at least one step is here
because now any number with zero point
four six or eight at the grid space
would be an even number and these even
numbers are always on
so you needed more tea to spend time to
say whether an event number it is a
composite number or a prime number
because even numbers will always be
composite number and the only exception
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