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Q.

Write all the factors of the following numbers : 

(a) 24           (b) 15            (c)21

(d) 27           (e) 12            (f) 20

(g) 18           (h) 23            (i) 36

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Detailed Solution

The numbers that are multiplied together to produce the original number are known as factors. 

(a) 24 

Product of 24 can be written as 

24=1×24, 24=2×12, 24= 3×8, 24=4×6 

So factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.

(b) 15

Product of 15 can be written as 

15=1×15, 15=3×5

So factors of 15 are 1, 3, 5, and 15.

(c) 21

Product of 21 can be written as 

21=1×21, 21=3×7

So factors of 21 are 1, 3, 7, and 21.

(d) 27

Product of 27 can be written as 

27=1×27, 27=3×9

So factors of 27 are 1, 3, 9, and 27.

(e) 12

Product of 12 can be written as 

12=1×12, 12=2×6, 12= 3×4

So factors of 12 are 1, 2, 3, 4, and 12.

(f) 20

Product of 20 can be written as 

20=1×20, 20=2×10, 20= 4×5

So factors of 20 are 1, 2, 4, 5, and 20.

(g) 18

Product of 18 can be written as 

18=1×18, 18=2×9, 18=3×6, 

So factors of 18 are 1, 2, 3, 6, 9 and 18.

(h) 23

Product of 23 can be written as 

23=1×23

So factors of 23 are 1, and 23.

(i) 36

Product of 36 can be written as 

36=1×36, 36=2×18, 36=3×12, 36=4×9, 36=6×6

So factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36.

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