CONCEPT OF FACTORS -
A number is a factor of a given number if it divides that number exactly, without any remainder.
PROPERTIES OF FACTORS :-
(1) 1 is a factor of each number.
(2) Every number is a factor of itself.
(3) A factor of a number is either less than or equal to the number.
6 x 7 = 42
=> 42 ÷ 6 = 7
=> 42 ÷ 7 = 6
6 and 7 are divisors of 42 as they divide 42 without any remainder.
∴ 6 and 7 are called the factors of 42.
A factor is a number which divides a given number exactly.
9 x 7 = 63; 7 and 9 are the factors of 63.
5 x 9 = 45; 5 and 9 are the factors of 45.
Example.1) Is 7 a factor of 521 ?
Ans.)
7 ) 521 ( 74
49
________
31
28
_______
3
So, 7 is not a factor of 521 since the remainder is not 0. (Ans.)
Example.2) Is 8 a factor of 368 ?
Ans.)
8 ) 368 ( 46
32
________
48
48
_______
0
So, 8 is a factor of 368 since the remainder is 0. (Ans.)