Question

A) write 600 as product of prime factors give your answer in index form

Answer 1

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