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What is the smallest perfect square that is divisible by the four smallest primes?
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β 8y ago
44,100
Jaunita Donnelly
ZiminLiζζ’ι
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Smallest perfect square divisible by 7?
It is 49.
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 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.
Why they are no square prime numbers?
There are: 3 is a prime and it is the square of √3.There are no primes that are perfect squares since, by definition, a perfect square is of the form n2 = n*n. And for n > 1 , n is a factor of n2. If n = 1, then n2 = 1 which is not a prime since it is only divisible by 1.
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 the characteristics of a perfect square?
divisible by 2
What is the smallest square number greater than 100?
The smallest perfect square is 121.
What whole number is less than 100 that is both a perfect square and a perfect cube?
To be a perfect square, all the primes in a number's prime factorisation must have an even power To be a perfect cube, all the primes in a number's prime factorisation must a power that is a multiple of 3 → To be a perfect square, all the primes in a number's prime factorisation must a power that is a multiple of 3 and a multiple of 2, ie the power must be a multiple of 6 The smallest prime is 2 2⁶ = 64 = (2³)² = 8² = (2²)³ = 4³ 2¹² = 4096 (too large) 3⁶ = 729 (too large) There is also 1 = 1² = 1³ Thus the whole numbers less than 100 which are both perfect squares and perfect cubes are 1 and 64.
What is the smallest negative perfect square that is divisible by the four smallest prime numbers?
Perfect squares are positive. A smallest negative number doesn't exist. The four smallest prime numbers are 2, 3, 5 and 7. The smallest perfect square would have to be 2^2 x 3^2 x 5^2 x 7^2 or 44,100
What is the smallest square number divisible by 6 5 7?
1587600
The square root of the smallest three digit perfect square?
It is 10.
