Question

Find the least number by which when 2205 is divided or multiplid then it becomes a perfect square

Answer 1

Answer:

5

Step-by-step explanation:

Need to look at the prime factorization of 2205:

2205 = 3² × 5¹ × 7²

To have a square, all prime factors need to occur with an even power.  The only odd power that needs to be "fixed" is 5¹.  Multiplying or dividing by 5 will make the power even (either 2 or 0).

So the answer is 5.

2205 / 5 = 3² × 7² = 21²

2205 × 5 = 3² × 5² × 7² = 105²