Question

find that smallest number which when multiplied
by 2205, becomes a whole number.​

Answer 1

Answer:

Step-by-step explanation:

Given,

Number = 2205

The prime factorization of the number 2205 = 3^2×5^1×7^2

To make a number as a perfect square,all it's prime factors should have an even power. But here 5 has a odd power. So now multiply or divide the number by 5 to make it a perfect square.

2205/5 = 441 = 3^2×7^2 = 21^2

2205×5 = 11025 = 3^2×5^2×7^2 = 105^2

5 Is the whole number!!