704 = 2 × 2 × 2 × 2 × 2 × 2 × 11 Show Here, one 11 is left which is not in a triplet. If we divide 704 by 11, then it will become a perfect cube. Thus, 704 ÷ 11 = 64 = 2 × 2 × 2 × 2 × 2 × 2 is a perfect cube. Hence, the smallest number by which 704 should be divided to make it a perfect cube is 11. Ex 7.1, 3 Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube. (v) 704 We see that 704 = 2 × 2 × 2 × 2 × 2 × 2 × 11 Since 11 does not occur in triplets, ∴ 704 is not a perfect cube. So, we divide by 11 to make triplet So, our number becomes 704 × 𝟏/𝟏𝟏 = 2 × 2 × 2 × 2 × 2 × 2 × 11 × 𝟏/𝟏𝟏 = 2 × 2 × 2 × 2 × 2 × 2 Now, it becomes a perfect cube. So, we divide 704 by 11 to make it a perfect cube Show MoreWhat number should be divided to 68600 so as to get a perfect cube?Hence, the smallest number by which 68600 must be multiplied to obtain a perfect cube is 5.
What is the smallest number by which 750 must be divided to obtain a perfect cube?Answer. 238 is your answer.
What is the prime factorization of 704?Thus, the Prime Factors of 704 are: 2, 2, 2, 2, 2, 2, 11.
What number should be divided to get a perfect cube?Hence, the smallest number by which 81 must be divided to obtain a perfect cube is 3.
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