Properties of Factors

The properties of factors are discussed step by step according to its property.

Property (1):

Every whole number is the product of 1 and itself so

(i) Each number is a factor of itself.

19 x 1 = 19,

So, 19 is the factor of 19.

(ii) 1 is the factor of every number.

31 x 1 = 31,

So, 1 is the factor of 31.

Property (2):

Every number is a factor of zero (0)

As, 7 x 0 = 0,

17 x 0 = 0,

93 x 0 = 0

So, 7, 17, 93, ……, etc., are the factors of 0.

Property (3):

1 is the smallest factor of a multiple and the greatest factor of a multiple is the multiple itself.

Property (4):

Every number other than 1 has at least two factors, namely the number itself and 1.

Therefore, the properties of factors are explained above so, that student can understand each property.