Page 171 - Demo

170 Arrow-Puffin-4_Semester-1 MathsI. Fill in the blanks.1) 6 x 7 = 42 6 and 7 are the of 42.2) 5 x 6 = 30 and are the factors of 30.3) 9 x 8 = 72 8 and 9 are the factors of .FINDING FACTORS%u2022 We can find the factors of any given number using multiplication.Example 1 : Find the factors of 36.1 x 36 = 362 x 18 = 363 x 12 = 364 x 9 = 366 x 6 = 369 x 4 = 36%u2022 We can also find the factors of any given number using division. When a number divides another number exactly (leaving no remainder) then the divisor and the quotient are factors of the dividend.Example 2 : Find the factors of 18.18 %u00f7 1 = 1818 %u00f7 2 = 918 %u00f7 3 = 618 %u00f7 4 = 4 (Remainder 2)18 %u00f7 5 = 3 (Remainder 3)18 %u00f7 6 = 3Since 18 %u00f7 3 = 6 and 18 %u00f7 6 = 3 give the same factors i.e. 6 and 3, there are no more factors of 18.Therefore, the factors of 18 are 1, 2, 3, 6, 9 and 18.Since 4 x 9 is same as 9 x 4 and the factors of 9 and 4 are repeated here which means there are no more factors of 36. 9 x 4 = 36Therefore, factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36.Dividend is a multiple of the quotient and the divisor.Let's Understand Conceptual Understanding Let's Practise 5.3 Application