Find the common factors of the terms(i) 12x, 36(ii) 2y, 22xy(iii) 14pq

1.	Find the common factors of the terms(i) 12x, 36(ii) 2y, 22xy(iii) 14pq, 28p2q2
Answer» (i) 12x = 2 × 2 × 3 × x 36 = 2 × 2 × 3 × 3 (ii) 2y = 2 × y 22xy = 2 × 11 × x × y (iii) 14pq = 2 × 7 × p × q 28p²q²= 2 × 2 × 7 × p × p × q × q The common factors are 2, 7, p, q. And, 2 × 7 × p × q = 14pq

Find the common factors of the terms(i) 12x, 36(ii) 2y, 22xy(iii) 14pq, 28p2q2

Answer»

(i) 12x = 2 × 2 × 3 × x

36 = 2 × 2 × 3 × 3

(ii) 2y = 2 × y

22xy = 2 × 11 × x × y

(iii) 14pq = 2 × 7 × p × q

28p²q²= 2 × 2 × 7 × p × p × q × q

The common factors are 2, 7, p, q.

And, 2 × 7 × p × q = 14pq