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Question

State whether true or false:
Is 1000 a perfect cube?

A
True
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B
False
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Solution

The correct option is A True
Resolving 1000 into prime factors, we find that
1000=2×2×2×5×5×5.

Clearly, the prime factors of 1000 can be grouped into triples of equal factors and no factor is left over.
That is, 1000=2×2×2×5×5×5=23×53.

1000 is a perfect cube.

Hence, the given statement is true and option A is correct.

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