PLAYING WITH NUMBERS

Lets discuss about LCM

Definition:LCM of two numbers or more numbers is the smallest number which can be exactly divided by each of the given number

For example we take two numbers 12 and 16.We solve this using Table chart First we take 2 charts with 100 numbers

1)First mark the multiples of 12 up to 100 with some color in one chart
2)Mark the multiples of 16 up to 100 with some color in another chart
3)Find the common multiples of 12 and 16 i.e 48,96.And find the least number of those common multiples is the LCM of 12 and 16 i.e 48

So LCM of 12 and 16 is 48

Lets discuss about HCF

Definition:HCF or Highest Common Factor of two or more numbers is the greatest factor that divides the numbers

A factor is a number that divides into another number exactly and without leaving a remainder

Lets discuss about Divisibility Rules

Lets discuss about factorization

Definition:A number is said to be factorized when a number is expressed as a breaking the number into product of its factors

Prime Factorization:Prime factorization is a way of expressing a number as a product of its prime factors.

Divisibility rule for 2:A number is divisible by 2 is if LAST DIGIT IS "EVEN"

Divisibility rule for 3:A number is divisible by 3 is if SUM OF ITS LAST DIGIT IS DIVISIBLE BY 3

Divisibility rule for 4:A number is divisible by 4 is if LAST 2 DIGITS ARE DIVISIBLE BY 4

Divisibility rule for 5:A number is divisible by 5 if iis units place is 0 or 5


Divisibility rule for 6:A number is divisible by 6 if it is divisible by 2 and 3 both


Divisibility rule for 7:A number is divisible by 7 we need to double the last digit of the number and then subtract
it from the remaining number.if the result is divided by 7 so it is multiples of 7


Divisibility rule for 8:A number is divisible by 8 if the number formed by the last 3 digits is divisible by 8


Divisibility rule for 9:A number is divisible by 9 if the sum of digits is divisible by 9
Example:we take 81, 8 + 1 = 9 similarly 99, 9 + 9 = 18 divisible by 9


Divisibility rule for 10:A number is divisible by 10 if it has zero in units place
Example:110, 200, 360, 490, 1190, 1510 here all these number is divisible by 10 because their units place is 0.


Divisibility rule for 11:A number is divisible by 11 if the sum of the digits in odd places
and the sum of digits in even places difference is a multiple of 11 or zer0