Question
Find the smallest number that should be multiplied to 1296 so that it becomes a perfect square.
Solution
1296Β =Β 2 4Β ΓΒ 3 4
Since, the powers of all prime factors are already even, the given number is already a perfect square.
Required number = 1
More No. System Questions
- Mohit purchased some toffees at a rate of Rs 20 for every 50 toffees. Additionally, he bought twice as many toffees at a price of Rs 1.50 per piece. He the...
- Find the remainder when 5123 is divided by 36.
- Find the fourth proportional to 2, 3, 6.
- Let βxβ be the least number divisible by 10, 14, 18, 21 and 28, and also βxβ is a perfect square. Find the remainder when βxβ is divided by 85.
- If the number 640x6 is exactly divisible by 56 and x is greater than 5, then determine the value of x.
- βNβ is the largest three-digit number that when divided by 6, 10 and 15 leaves a remainder 2. Find the sum of its digits.
- The digits of a two-digit number βNβ are reversed to form a new number βMβ. If M < N and N β M = 45, then which of the following maybe βNβ?
- 111(16 - 1) is divisible by
- For what number of values of 'z' is the number 1269zq divisible by 15?
- Which of the following numbers is not a perfect square?