Page 1 - Home Assignment Ans

Answers Home Assignment-1

1. Since, the number is divisible by 12. Hence, it also divisible by its factors i.e 1, 2,
3, 4, 6, 12

Therefore 1, 2, 3, 4, 6 are the numbers other than 12 by which this number is also
divisible.
2. 56 and 120

1, 2, 4, 7, 8, 14, 28 and 56 are factors of 56

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and 120 are factors of 120
Common factors = 1, 2, 4, 8.

3. Match the items in column 1 with the items in column 2.

Column 1 Column 2
Column 1Column 2

(i) 35 (b) Multiple of 7

(ii) 15 (d) Factor of 30
(iii) 16 (a) Multiple of 8

(iv) 20 (f) Factor of 20

(v) 25 (e) Factor of 50
4. (a) 23

23 = 1 × 23 23 = 23 × 1

Since 1 and 23 have occurred earlier
Hence, the factors of 23 are 1 and 23.

(b) 36

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

Stop here, since both the factors (6) are same. Thus the factors of 36 are 1, 2, 3, 4,
6, 9, 12, 18 and 36.
5. (a) 6 and 8

6, 12, 18, 24, 30 ……are multiples of 6

8, 16, 24, 32…… are multiples of 8
Three common multiples are 24, 48, and 72.

(b) 12 and 18

12, 24, 36, 48, 60, 72, 84, 96,108…… are multiples of 12
18, 36, 54, 72, 90, 108….. are multiples of 18. Hence three common multiples are
36, 72, and 108.