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

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divisible by 2

25 = 9 + 16 There are many more sets like these. This one has the smallest numbers.

The Answer:Square numbers, when arranged in a square is aready a rectangle, but otherwise speaking, all square can, since all are divisible by 1 and itself, and if the square root of that perfect square is composite, it can be rearranged into a rectangle as well, in other ways.

You can't, since 122 isn't divisible by a perfect square.

25

Related questions

(3x5x7x11)2 =1334025

44,100

It is 49.

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

360

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.

the answer is 144, it is divisible by 1, 4, 9, 16, 36, and 144.

divisible by 2

The smallest perfect square is 121.

25 = 9 + 16 There are many more sets like these. This one has the smallest numbers.

1587600

Yes, 1536 is divisible by 256.

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