Answer:
5
The least number 12500 need to be multiplied by to make it a perfect square is 5.
Corrected question;
By which least number should 12500 be multiplied to make them perfect squares
Explanation:
Perfect squares are squares of whole numbers.
Like 4,9,16 etc.
For 12500, we need to first of all reduce it to its Lowest factors.
12500 = 2×2×5×5×5×5×5
Grouping the factors into pairs of thesame factors.
12500 = (2×2) × (5×5) × (5×5) × 5
Looking at the pairs of factors, we can observe that the last factor 5 need to be paired to make the number a perfect square.
So, when the number is multiplied by 5;
12500 × 5 = (2×2) × (5×5) × (5×5) × (5×5)
62500 = (2×2) × (5×5) × (5×5) × (5×5)
62500 = (2×5×5×5)^2 = 250^2
Hence, 62500 is a perfect square.
The least number 12500 need to be multiplied by to make it a perfect square is 5.