Find the smallest number by the 7776 to be divided to get a perfect number
Answers
Required Answer
The smallest number by which 7776 to be divided to get a perfect number is 6.
Step-by-step Explanation
Follow these steps:
1. As to find the smallest number which should be divided by 7776 to get a perfect number, we wil first factorise the number. (attachement).
2. Now we have to find the factors with pairs (attachment 2).
3. Here, we can see that the numbers 3 and 2 have no more pairs in factors. Hence, to find the number we will multiply 3×2 = 6.
Hence, 6 is the number to be divided by 7776 to get a perfect square.
Let us find the perfect square now:
Follow these steps:
1. Divide 6 by 7776.
2. The answer we got is 1,296.
3. Let us find the square root of 1,296.
√1296 = √36 × 36 = 36
So, the square root of 1296 is 36.
Now we found that 6 is the only number which should be divided by 7776 to get a perfect square. When we divided 7776 by 6 we got 1296. And when we took the square root of 1296, we got a perfect square 36. So, our answer is correct.
