S1 Math: Smallest positive number

 

Written as a product of its prime factors, 600 = 2² x 3 x 5²

Find the smallest positive integer k such that  is a perfect square

S1 Math: Smallest positive number

 

Written as a product of its prime factors, 540 = 2² x 3³ x 5

(i)                  Find the smallest positive integer k such that 540k is a perfect cube.

(ii)           Give an example of a positive integer value of h such that is a perfect cube

S1 Math: Smallest positive number

 Find the smallest possible whole number k if 3575k is a multiple of 260.

S1 Math: Products of prime factors

 

The numbers of 700 and 1050, written as the products of their prime factors, are

                700 = 2² x 5² x 7,

                1050 = 2 x 3 x 5² x 7

Find

(i)                  The smallest positive integer h for which 700h is a multiple of 1050

(ii)                The smallest positive integer k for which  is a factor of 700

Nahu I'rab

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