Q7 of 55 Page 59

A number is divisible by 12. By what other numbers will that number be divisible?

As the number is divisible by 12,


So, it will also be divisible by its factors;


That is,


1, 2, 3, 4, 6 and 12.


Therefore,


1, 2, 3, 4 and 6 are the numbers other than 12 by which this number is also divisible.


More from this chapter

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5

Which of the following numbers are co-prime?

(a) 18 and 35 (b) 15 and 37


(c) 30 and 415 (d) 17 and 68


(e) 216 and 215 (f) 81 and 16

 6

A number is divisible by both 5 and 12. By which other number will that number be always divisible?

 1

Which of the following statements are true?

(a) If a number is divisible by 3, it must be divisible by 9.


(b) If a number isd divisible by 9, it must be divisible by 3.


(c) A number is divisible by 18, if it is divisible by both 3 and 6.


(d) If a number is divisible by 9 and 10 both, then it must be divisible by 90.


(e) If two numbers are co-prime, at least one of them must be prime.


(f) All numbers which are divisible by 4 must also be divisible by 8.


(g) All numbers which are divisible by 8 must also be divisible by 4.


(h) If a number exactly divides two numbers separately, it must exactly divide their su,


(i) If a number exactly divides the sum of two numbers, it must exactly divide the two numbers separately.

 2

Here are two different factor trees for 60. Write the missing numbers.

(a)


(b)