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Answer:
1. 7
2. 2
Step-by-step explanation:
1. If we see, the prime factors of 1372, 7 is in the group of 3 i.e. it makes a cube but 2 is not in a group of 3 i.e. it is not making a cube. ∴ is the smallest number by which 1372 must be multiplied so that the product becomes a perfect cube. Hence, proved
2.1372 is not a perfect cube. Obviously, to make it a perfect cube we need one more 2 as its factor. which is a perfect cube. Thus, the required smallest number = 2.
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