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.

Related Concept

Factors and Multiples by using Multiplication Facts

Factors and Multiples by using Division Facts


Properties of Multiples

Examples on Multiples


Factor Tree Method

Properties of Factors

Examples on Factors

Even and Odd Numbers

Even and Odd Numbers Between 1 and 100

Examples on Even and Odd Numbers

4th Grade Math Activities

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