Page 170 - Demo

Arrow-Puffin-4_Semester-1 Maths 169FACTORSConsider the number 35.Since 5 x 7 = 35, therefore 35 : 5 = 7 and 35 : 7 = 535 is divisible by 5 and 7 without leaving a remainder. Therefore, 5 and 7 are factors of 35.The factors of a number are those which divide the number without leaving any remainder.Let us look at the factors of 36.1 x 36 = 36 2 x 18 = 36 3 x 12 = 36 4 x 9 = 36 6 x 6 = 36Here, 1 and 36 are factors of 36. 2 and 18 are factors of 36. 3 and 12 are factors of 36. 4 and 9 are factors of 36. 6 and 6 are factors of 36.Therefore, the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36.PROPERTIES OF FACTORS%u2022 1 is a factor of every number. Example : 4 x 1 = 4 Here, 1 and 4 are factors of 4.%u2022 Every number is a factor of itself. Example : 5 x 1 = 5 Here, 1 and 5 are factors of 5.%u2022 1 is the smallest factor of every number.%u2022 The number itself is the greatest factor of every number.%u2022 A number can have many factors.%u2022 Factors of a number are always smaller or equal to the number.%u2022 Every factor of a number is the exact divisor of the number.The smallest factor of any number is 1 and the largest factor is the number itself i.e. the smallest factor of 36 is 1 and the largest is 36.Let's Understand Conceptual UnderstandingLet's Understand Conceptual Understanding