Write 600 as a product of a prime factor give your answer in index form

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

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