Question

Find the least number by which 675 should be multiplied to get a perfect square.

Answer 1

first you have to take the prime factorization of 675 and then you must take three because this is the least number when you have to multiply 625 multiplied by 3 then you get the answer 2025

Answer 2

factors of 675 are 5×5×3×3×3

we make 675 a perfect square so, we multiply it by 3

5×5×3×3×3×3=2025

pair of all 5×3×3=45

so the least no. be 3