NCERT Solutions
Class 8 Maths
Factorisation

Ex.14.1 Q.1
Find the common factors of the given terms.
1. 12x, 36
2. 2y, 22xy
3. 14pq, 28 p2 q2
4. 2x, 3x2, 4
5. 6abc, 24ab2, 12a2 b
6. 16x3, -4x3, 32x
7. 10pq, 20qr, 30rp
8. 3x2 y3, 10x3 y3, 6 x2 y2 z
1. 12x = 2 × 2 × 3 × x
36 = 2 × 2 × 3 × 3
Hence, the common factors are 2, 2 and 3 = 2 × 2 × 3 = 12
2. 2y = 2 × y
22xy = 2 × 11 × x × y
Hence, the common factors are 2 and y = 2 × y = 2y
3. 14pq × 2 × 7 × p × q
28 p2 q2 = 2 × 2 × 7 × p × p × q × q
Hence, the common factors are 2 × 7 × p × q = 14pq
4. 2x =2 × x × 1
3x2 = 3 × x × x × 1
4 = 2 × 2 × 1
Hence, the common factors are 1
5. 6abc = 2 × 2 × a × b × c
24ab2 = 2 × 2 × 3 × a × a × b
12a2 b = 2 × 2 × 3 × a × a × b
Hence, the common factors are 2 × 3 × a × b = 6ab
6. 16x3 = 2 × 2 × 2 × 2 × x × x × x
-4x3 = (-1) × 2 × 2 × x × x × x
32x = 2 × 2 × 2 × 2 × 2 × x
Hence, the common factors are 2 × 2 × x = 4x
7. 10pq = 2 × 5 × p × q
20qr = 2 × 2 × 5 × q × r
30rp = 2 × 3 × 5 × r × p
Hence, the common factors are 2 × 5 = 10
8. 3x2 y3 = 3 × x × x × y × y × y
10x3 y3 = 2 × 5 × x × x × x × y × y × y
6 x2 y2 z = 2 × 3 × x × x × y × y × z
Hence, the common factors are x × x × y × y = x2 y2