Factors


 
 
Concept Explanation
 

Factors

Factors: Factors are whole numbers that are multiplied together to produce another number. The original numbers are factors of the product number. If a x b = c then a and b are factors of c.

Factor, in mathematics, a number or algebraic expression that divides another number or expression evenly i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.

Note: 1. Every number is a factor of itself.

2. 1 is a factor of every number.

3. Every factor of a number is an exact divisor of that number.

4. Every factor is less than or equal to the given number.

5. Number of factors of a given number are finite.

Illustration: Find the factors of 36.

Solution: 36 = 1 X 36

              36 = 2 X 18

              36 = 4 X 9

              36 = 6 X 6

              36 = 3 X 12

Hence, the factors of 36 are 1,2,3,4,6,9,12,18 and 36.

Illustration: Find the factors of 68.

Solution: We have

68 = 1 X 68

68 = 2 X 34

68 = 4 X 17

68 = 17 X 4

Hence, the factors of 68 are 1,2,4,17,34 and 68.

Sample Questions
(More Questions for each concept available in Login)
Question : 1

Which number is a factor of 20 but not a multiple of 2 ?

Right Option : B
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Explanation
Question : 2

Identify the set of numbers between 10 and 20 which have exactly two factors

 

Right Option : D
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Explanation
Question : 3

A number less than hundred has the factors 2, 3 and 4. If the sum of the digits of the number is 15, find the number.

Right Option : A
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Explanation
 
 
 
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