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(3x5x7x11)2 =1334025

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Sean Morrow

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1334025

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Q: What is the smallest positive perfect square that is divisible by the four smallest prime numbers?
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Related questions

What is the smallest perfect square that is divisible by the four smallest prime numbers?

44,100


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 perfect square that is divisible by the four smallest primes?

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Smallest perfect square divisible by 7?

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What is the smallest positive integer that has exactly 6 perfect square divisors?

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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.


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