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What is the smallest positive perfect square that is divisible by the four smallest prime numbers?
(3x5x7x11)2 =1334025
Can negative numbers be perfect squares?
yes
What is the smallest positive integer that has exactly 6 perfect square divisors?
the answer is 144, it is divisible by 1, 4, 9, 16, 36, and 144.
What are perfact numbers?
If the sum of all a number's factors (factors that are smaller than the number itself) is equal to the number itself, the number is said to be "perfect". For example, the factors of 6 (excluding 6 itself) are 1, 2, and 3; and the sum of these numbers is exactly 6. The smallest perfect numbers are 6, 28, 496, 8128. It isn't known whether the set of perfect numbers is finite or infinite. Also, it isn't known whether there are any odd perfect number; all known perfect numbers are even.
6 is the S P N?
6 is the Smallest Perfect Number
What is the smallest perfect square that is divisible by the four smallest prime numbers?
44,100
What is the smallest positive perfect square that is divisible by the four smallest prime numbers?
(3x5x7x11)2 =1334025
What is the smallest perfect square that is divisible by the four smallest primes?
44,100
Smallest perfect square divisible by 7?
It is 49.
What are the two smallest perfect numbers?
6 and 28.
Can negative numbers be perfect squares?
yes
What is the least perfect square divisible by 8 9 10 and how?
3600 is the smallest perfect square divisible by 8,9 and 10. Work out the prime factorisations for each of the numbers 8, 9, 10: 8 = 23 9 = 32 10 = 2 x 5 So the perfect square must be a multiple of the lcm of 8, 9 & 10 = 23 x 32 x 5 to be divisible by all three numbers. All perfect squares have even powers for all their primes (in their prime factorisation), so to make all the powers even the smallest multiplier of this is 2 x 5, giving 24 x 32 x 52 = 3600.
What is the sum of the two smallest perfect numbers?
hello my name is jack
What is the smallest positive integer n such that 2n is a perfect square 3n is a perfect cube and 4n is a perfect fourth?
To find the smallest positive integer ( n ) such that ( 2n ) is a perfect square, ( 3n ) is a perfect cube, and ( 4n ) is a perfect fourth, we analyze the conditions for each case using prime factorization. Let ( n = 2^a \cdot 3^b \cdot k ), where ( k ) is coprime to 2 and 3. For ( 2n ) to be a perfect square, ( a+1 ) must be even and ( b ) must be even. For ( 3n ) to be a perfect cube, ( a ) must be divisible by 3 and ( b+1 ) must be divisible by 3. For ( 4n ) to be a perfect fourth, ( a+2 ) must be divisible by 4 and ( b ) must be divisible by 4. By solving these conditions simultaneously, the smallest ( n ) that meets all conditions is ( n = 108 ).
What is the least number which is a perfect square and is divisible by each of the numbers 16 20 and 24?
360
What is the smallest positive integer that has exactly 6 perfect square divisors?
the answer is 144, it is divisible by 1, 4, 9, 16, 36, and 144.
What is the smallest perfect number?
the smallest perfect number is 1
