Find the common factors of the terms(i) 2x, 3x2, 4(ii) 6abc, 24ab2, 12

1.	Find the common factors of the terms(i) 2x, 3x2, 4(ii) 6abc, 24ab2, 12a2b(iii) 16x3, −4x2, 32x
Answer» (i) 2x = 2 × x 3x² = 3 × x × x 4 = 2 × 2 The common factor is 1. (ii) 6abc = 2 × 3 × a × b × c 24ab² = 2 × 2 × 2 × 3 × a × b × b 12a²b = 2 × 2 × 3 × a × a × b The common factors are 2, 3, a, b. And, 2 × 3 × a × b = 6ab (iii) 16x³ = 2 × 2 × 2 × 2 × x × x × x −4x² = −1 × 2 × 2 × x × x 32x = 2 × 2 × 2 × 2 × 2 × x The common factors are 2, 2, x. And, 2 × 2 × x = 4x

Find the common factors of the terms(i) 2x, 3x2, 4(ii) 6abc, 24ab2, 12a2b(iii) 16x3, −4x2, 32x

Answer»

(i) 2x = 2 × x

3x² = 3 × x × x

4 = 2 × 2

The common factor is 1.

(ii) 6abc = 2 × 3 × a × b × c

24ab² = 2 × 2 × 2 × 3 × a × b × b

12a²b = 2 × 2 × 3 × a × a × b

The common factors are 2, 3, a, b.

And, 2 × 3 × a × b = 6ab

(iii) 16x³ = 2 × 2 × 2 × 2 × x × x × x −4x² = −1 × 2 × 2 × x × x

32x = 2 × 2 × 2 × 2 × 2 × x

The common factors are 2, 2, x.

And, 2 × 2 × x = 4x