Question

Fill in the blanks:-

i)Number of factors of a given number is _____________

ii)Every multiple of a positive number is ____________ that number.

iii)Number of multiples of a given number is __________

iv)Every number is a multiple of ______________

• A. i) 26 ii) lesser iii) 106 iv) itself
• B. i) infinite ii) greater than iii) finite iv) 100
• C. i) finite ii) greater than or equal to iii) infinite iv) itself
• D. i) finite ii) greater than or equal to iii) finite iv) 100

Answer 1

The correct option is C

i) finite ii) greater than or equal to iii) infinite iv) itself

i) The factors of a number are numerals which exactly divide the number and thus, they are smaller than or equal to the number. Thus, there is a finite number of them. For e.g.- The factors of 6 are 2 and 3.

ii) A multiple of a positive number is basically that number added to itself multiple times. Thus, the multiple of a number will always be equal to or greater than that number. For e.g.- 4 is a multiple of 2 and it is greater than 2.

iii) A number can be added to itself infinite number of times. Thus, it can have infinite multiples.

iv) Any number multiplied by 1 will result in the same number. Thus, every number is a multiple of itself. For e.g.- 5 multiplied by 1 will result in 5.