Question

The smallest number by which 1875 must be divided to obtain a perfect square is *​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

The answer is 3

Step-by-step explanation:

Reason:  

1875 ends in a 5, so it can be divided by 5

1875 ÷ 5 = 375 which also ends in a 5 so

375 ÷ 5 = 75

75 ÷ 5 = 15

15 ÷ 5 = 3.

So 1875 = 5 × 5 × 5 × 5 × 3 = (5 × 5) × (5 × 5)

= 25^2 × 3

So if you divide 1875 by 3 you get 25 squared, and 3 must be the smallest number as 1875 can't be divided exactly by 2.