What is the smallest positive integer n?

What is the smallest positive integer n?

2
The smallest positive integer n for which (1+ i)^2n = (1 – i)^2n is. Here the smallest number of n is 2.

What is the smallest positive integer n such that 2n is a perfect square and 3n is a perfect cube?

The answer is 4096. Perfect square and a perfect cube?

What is the smallest positive integer that is neither prime nor square and that has no prime factor less than 50?

The solution for this problem goes like this: “Since the integer is neither prime nor square, it is divisible either by two distinct primes or by the cube of a prime. The smallest prime numbers not less than 50 are 53 and 59.

What is the smallest integer greater than 1 such that 1/2 of a perfect square and 1/5 of it is a perfect fifth power?

The answer is 500000. Done.

What is the smallest positive integer n for which 1 i1 − i n 1?

The smallest positive integer n for which ((1+i)/(1-i))^n = 1 is, (1) n = 8, (2) n = 16, (3) n = 12, (4) none of these. Here the smallest number of n is 4. Hence option (4) is the answer.

What is the smallest positive integer that is not prime and is not a factor of 11?

implementing this rule, we just need to take 11 and multiple it with the first number bigger then 1 (to make the number not prime) => 2X11 = 22.

How many factors does 224 have?

12 factors
Like many three-digit even numbers, 224 has several factors, which include 2, 4, 8, 14, and 16. In total there are 12 factors of 224.

How many square numbers are there up to 200?

Square Number

		numbers
1	1	1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121.
2	1	2, 5, 8, 10, 13, 17, 18, 20, 25, 26, 29, 32.
2	2	50, 65, 85, 125, 130, 145, 170, 185, 200.
3	1	3, 6, 9, 11, 12, 14, 17, 18, 19, 21, 22, 24.

Which of the following numbers is always divisible by 8 if’n is an odd natural number?

It is concluded that 4Q² + 4Q is divisible by 8 for all natural numbers. Hence, n² -1 is divisible by 8 for all odd values of n.