Question

Найдите наименьшее натуральное число которое нужно добавить к числу 2016. Чтобы получился квадрат целого числа

Answer 1

45×2=2025 , поэтому к 2016 нужно прибавить 9 , что бы получилось 2025 . 

Answer 2

Finding the Smallest Natural Number to Add to 2016 to Make a Perfect Square

To find the smallest natural number that needs to be added to 2016 to make a perfect square, we can use the following approach:

Step 1: Find the prime factorization of 2016.

Step 2: Determine the prime factors and their powers.

Step 3: Identify the missing prime factors and their powers to make the number a perfect square.

Step 4: Calculate the smallest natural number to be added to make the number a perfect square.

Let's proceed with the calculation based on the provided approach.

The prime factorization of 2016 is: 2016 = 2^5 * 3^2 * 7^1.

From the prime factorization, we can see that the powers of 2 and 7 are odd, while the power of 3 is even. To make 2016 a perfect square, we need to add the prime factor 3 with an odd power.

The smallest natural number to be added to 2016 to make it a perfect square is 3^1, which is 3.

Therefore, the smallest natural number that needs to be added to 2016 to make a perfect square is 3.