the number 1750 can be written as 2 x 5 x q, where p and q are prime numbers. Work out the value of p and the value of q.

Do you mean...... 2 x 5^p x q     ????

1750 factors as

175 x 10 =

25 x 7 x 2 x 5  =

5 x 5 x 7 x 2 x 5 =

2 x 5³ x 7

So   p = 3 and q = 7