Page 65 - Math Skill - 4

Factors and Multiples 63

MIND MAP

Factors and Multiples Numbers

EVEN PRIME
Multiples Divisible by 2 Having exactly
A multiple of a number two factors 1
= the number × a counting number and itself
ODD
Not divisible
by 2 COMPOSITE
Properties Having more

� Multiples of any number can be than two factors
infinite Factors
� Every number is a multiple of itself Divided = Quotient × Divisor
i.e. 6 × 1 = 6 + Remainder
6 is the multiple of 6 Divisibility Test
� A multiple is always greater than or But, if remainder = 0 DIVISOR RULES
equal to its number then 2 It unit place
i.e. multiple of 4 4, 8, 12, 16 ..... Dividend = Quotient × Divisor digits are
� Zero is the multiple of every number Here, quotient and divisor both 0, 2, 4, 6, 8
the factors of dividend
3 If sum of
digits is
divisibile by 3
Common Multiples and LCM Properties 4 Last two digits
multiple of 2 and 3 of number is
� A factor is always smaller divisible by 4
than or equal to its number
2 3 � Every number has limited 5 If ones place is
number of factors either 0 or 5
4 � 1 is the factor of every number 6 It number is

divisible by 2
6 and 3 both
8 9 8 If last three
digits of number
10 Common Factors and HCF is divisible by 8
12 Factor of 12 1, 2, 3, 4, 6, 12 9 Sum of digits is

14 15 Factor of 16 1, 2, 4, 8, 16 divisible by 9
Common multiples are 6, 12 ... But Common factors 1, 2, 4 10 If unit place
lowest common multiple (LCM) is 6. Highest common factors (HCF) 4 of number is 0