Number system

Prime Number A which divisible itself

-> number is
by
and I called
is
prime Number.

Ex -

2, 3, 5, 7 etc
->

Composite Number=> A number which has more than I

factors including
1.

OR

A number which divisible other number

is
by any
excluding 1 $ itself.
Facter

2x -
4 => 1, 2, 4 - more than a facture.

Natural Number called

->
Counting No. are Natur

1, 2, 3

Number
While ->
Counting No together with
0.

Integer of
-
Ve 0 TUe

-
O I-

Even divisible
No -)
by 2.

026 NO =) 15
2 =

q0,-
 PerfectNo => -

6 1,2,3
=

1 2
+
3
+

6
=

Co-paimes/Relative Prime -> H.CY= 1.

Twin Perime-> Two Prime No, whose is c

3,5
2
=

44

Rational Those which

No - numbers can be
enferent in the

farm
of
where
PS I are
integers.

and
970. 10
O

o
ED.
I 0
=
120
2, 3, 4, U
I =>
not a 3**
(64" ->3

& 24 x 4 x 4,43
2414- y'z4
Irrational No-- Numbers which when expressed in decimal would

be 4
in
non-terminating non-repeating farm are

called irrational No.

Find the
value
of me.

vo
(2 64
=

② x3 =
64
L.H.S RUS x 4
=

xD= 64

x
= (64) ⑤ x
=
16

a 0
=

0
=

④ 23 18 =

=
(x 5) +
So
 H

O
Write & Learn
square from 1 to 30

0 ↑write I learn cube from 2 30

to

Or find no
of facture of 72.

Salve.
-
-

a) x 1S
+
=
-

25 b)(x 512
+

64
=

C) (x) 3 =
4 6)(x)4z 16
=

es
n4=(2x2x2 x2x2 x2 x 2 x 2)

f) uS 25 =

x 35

x6 36x26
g)
=

Salve

Fas 5 5
+

=
bit+3

c
+I = ↓S
Es
 100 ->
Total no faster.
I
10 X 10
0 ↓

Y 2x5 X 2x5

22x52 -

I
1625
1625 $5
325
5
- -
I aP xb9 x cM
65

- Is
3
⑪ 13
- ->

(1) A(1+1) 4*
= 2 8 =

Totalf=

N aPX b9
=
xar a, b, a are
faire No.

No.
of factur=(p+1)*(9+1)
total x (0+1)

->
 L I 3
Total factors Prime
-
factan +
Compusitefactor + 1
-T

↓
Neither
frime
-

now
compante

find the no.

of composite factor.
72 1, 2,
=
3, 4, 6, 8, 9, 12, 1824,36,72
-

-> & X3 8x9272

=

If = ·

(S+ 1S A 12+1)
-
O
12
(9)P
[22x
a.
= ⑪
s-I
I aP+
-
9a(asP
-) prime factur=2. a
P2 +

↳ Neither prime Nar

composite 1
=

facter ⑫
If
Total = +
Npc
12 I

12 =
3 Ix
x =
12 3 -

Ner of ever
Inter ---
-
-

2=12
x E 0 2,3,4,6,12
I,

2, 6, 12
4,
Even
fastene a2 =

2xsx)
a b 1
/
Sh
=

12 =
=0

-
22x3"(22)(31) -(1+1) 2 =
 Total factur= Erfacta +

Asfasta.
x
6 - t 2

6 = x
+
2

x 6
= - z
4
=

Note =>
To find f
outNineven
firstfind
acture fermenta use
Total
out face e

If. Oddfaction
=

+ even factu

To find factors, firstfind total

facture
Notes. Nachomesite
out
I
$ no.
of frime facture- then formula. use

Total facial Prime facture

-
+ Compulitefactor +1

Find factors
a no
of even and
composite factors.

a) 48 b) 56 C] 125 -1625

e) S00 fl 100
9) 128