Find the common factors of the given terms in each.(i) 8x, 24(ii) 3a,

1.	Find the common factors of the given terms in each.(i) 8x, 24(ii) 3a, 2lab(iii) 7xy, 35x2y3(iv) 4m2, 6m2, 8m3
Answer» i) 8x = 2 × 2 × 2 × x 24 = 8 × 3 = 2 × 2 × 2 × 3 ∴ Common factors of 8x, 24 = 2, 4, 8. ii) 3a, 21ab 3a = 3 × a 21ab = 7 × 3 × a × b ∴ Common factors of 3a, 21ab = 3, a, 3a. iii) 7xy, 35x²y³ 7xy = 7 × x × y 35x²y³ = 7 × 5 × x × x × y × y × y ∴ Common factors of 7xy, 35x²y³= 7, x, y, 7x, 7y, xy, 7xy. iv) 4m², 6m², 8m³ 4m² = 2 × 2 × m × m 6m² = 2 × 3 × m × m 8m³ = 2 × 2 × 2 × m × m × m ∴ Common factors of 4m² , 6m² , 8m³= 2, m, m², 2m, 2m².

Find the common factors of the given terms in each.(i) 8x, 24(ii) 3a, 2lab(iii) 7xy, 35x2y3(iv) 4m2, 6m2, 8m3

Answer»

i) 8x = 2 × 2 × 2 × x

24 = 8 × 3 = 2 × 2 × 2 × 3

∴ Common factors of 8x, 24 = 2, 4, 8.

ii) 3a, 21ab

3a = 3 × a

21ab = 7 × 3 × a × b

∴ Common factors of 3a, 21ab = 3, a, 3a.

iii) 7xy, 35x²y³

7xy = 7 × x × y

35x²y³ = 7 × 5 × x × x × y × y × y

∴ Common factors of 7xy, 35x²y³= 7, x, y, 7x, 7y, xy, 7xy.

iv) 4m², 6m², 8m³

4m² = 2 × 2 × m × m

6m² = 2 × 3 × m × m

8m³ = 2 × 2 × 2 × m × m × m

∴ Common factors of 4m² , 6m² , 8m³= 2, m, m², 2m, 2m².