Answer: (a) 2³ ˣ 3 ˣ 5², 2 ˣ 3 ˣ 5² = 150
Step-by-step explanation:
This is problems on common factors.
(a) 600 = 2 × 2 × 2 × 3 × 5 × 5
= 2³ˣ 3 ˣ 5²
(b) The highest common factors could be calculated using factors methods and the divisional methods.
Here we go.
(i) 600 = 2³ ˣ 3 ˣ 5²
1050 = 2 ˣ 3 ˣ 5² ˣ 7, the highest common factor HCF will be
HCT = 2 ˣ 3 ˣ 5²
= 150.
The divisional methods.
600) 1050 ( 1
- 600
------
450 ) 600 ( 1
- 450
------
150 ) 450 ( 3
- 450
------
000
So the answer is 150, the principle is that you continue to divide and subtract until you arrive at zero.
Answer = 150
