Q. 14.3( 212 Votes )

Find the common f

Answer :

(i) Factor of 12 = 2× 2 × 3 ×


Factor of 36 = 2× 2 × 3× 3


Common factors are 2, 2, 3


Product of common factors = 2× 2 × 3 = 12


(ii)Factor of 2y = 2× y


Factor of 22xy = 2× 11 × x × y


Common factors are 2, y


Product of common factors = 2× y = 2y


(iii)Factor of 14pq = 2× 7 × p × q


Factor of 28p2q2= 2× 2 × 7 × p× p × q× q


Common factors are 2, 7, p, q


Product of common factors = 2× 7 × p× q = 14pq


(iv) Factor of 2x = 2 × x


Factor of 3x2= 3× x × x


Factor of 4 = 2 × 2


Common factor is 1


(v) Factor of 6abc = 2 × 3 × a × b × c


Factor of 24ab2 = 2× 2 × 2 × 3 × a × b × b


Factor of 12a2b = 2× 2 × 3 × a × a × b


Common factors are 2, 3, a, b


Product of common factors = 2× 3 × a × b = 6ab


(vi) Factor of 16x3 = 2 × 2 × 2 × 2 × x × x × x


Factor of -4x2 = -2× 2 × x × x


Factor of 32x = 2× 2 × 2 × 2 × 2 × x


Common factors are 2, 2, x


Product of common factors = 2× 2 × x = 4x


(vii) Factor of 10pq = 2 × 5 × p × q


Factor of 20qr = 2× 2 × 5 × q × r


Factor of 30rp = 2× 3 × 5 × r × p


Common factors are 2, 5


Product of common factors = 2× 5 = 10


(viii) Factor of 3x2y3 = 3 × x × x × y × y × y


Factor of 10x3y2 = 2× 5 × x × x × x × y × y


Factor of 6x2y2z = 2× 3 × x × x × y× y × z


Common factors are x × x, y × y


Product of common factors = x2y2


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