19FACTORA factor of a number is an exactdivisor of that number i.e. the factorleaves remainder 0 when it dividesthe number.
204 × 5 = 204 and 5 are factors of 20. We canalso say that 20 is multiple of 4 and5.In 2 × 12 = 24,2 and 12 are factors of 24.24 is the multiple of 2 and 12.So, a number is a multiple of itsfactors.
21Multiples of 2 =2,4,6,8,10,12,14,16,18,20,22,24…Multiples of 3 =3,6,9,12,15,18,21,24,27,30,33,36,…Multiples of 15 =15,30,4,60,75,90,105,120,135,……The number of multiples ofa given number is infinite.
22FACTORS OF SOMENUMBERS8 = 1,2,4,816 = 1,2,4,8,1625 = 1,5,25
234 × 5 = 20Factors Multiple
24POINTS TO REMEMBER• 1 is a factor of every number.• Every factor of a number is an exactdivisor of that number.• Every factor is less than or equal to thegiven number.• Number of factors of a given number arefinite.
25• Every multiple of a number is greaterthan or equal to that number.• The number of multiples of a givennumber is infinite.• Every number is a multiple of itself.POINTS TO REMEMBERcontd
2727State whether the followingState whether the followingstatements arestatements are TRUETRUE oror FALSEFALSE1. 1 is a factor of every number.1. 1 is a factor of every number. FF TT2. The largest factor of any number is the number itself.2. The largest factor of any number is the number itself. FF TT3. Number of factors of a given number is infinite.3. Number of factors of a given number is infinite. FF TT4.The number of multiples of 5 is 10.4.The number of multiples of 5 is 10. FF TT5.The factors of 65 are 1, 5 and 13 only.5.The factors of 65 are 1, 5 and 13 only. FF TT( Click ‘F’ for false and ‘T’ for true )( Click ‘F’ for false and ‘T’ for true )