1) Is 12348 a perfect cube? If not, find the smallest natural number by which 12348 should be multiplied so that the product is a perfect
cube.?

Prime factorization is a method of factoring a number such that the given number can be broken down in terms of prime factors.

2|12348−−−−−2|6174−−−−−3|3087−−−−−3|1029−−−−−7|343−−−−7|49−−−7|7−−

So, we can write 12348 as:

12348=2×2×3×3×7×7×7

Since all the factors of 12348 are in pairs except 7.

So, the number should be divided by 7.

Therefore, the smallest number by which 12348 must be divided to obtain a perfect square is 7.

Step-by-step explanation:

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