Step 2: Find the largest number whose cube is less than or equal to the first group of digits from left ( ie 1) Take this number as the divisor and the quoient. Since, 8 is a perfect cube number, it is easy to find the cube root of a number. ∛64 = ∛(2 x 2 x 2 x 2 x 2 x 2) If the factors of the number can be equally grouped in triples, the number is a perfect cube. Cube root of a number can be found by a very simple method which is the prime factorization method. You can find this answer by multiplying 11 * 11 * 11 to get 1331. To check whether a number is a perfect cube, factorise the number first. For example, the cube root of 64 is 4 because 4 * 4 * 4 = 64. The approximate value of the ∛2 is 1.260. ∛729 = 9. The cube root of 1,331 is 11. Hence, we can see, we cannot find the cube root by simple factorisation here. Example: ∛8 = ∛(2 × 2 × 2) = 2. ∛512 = 8, Therefore, the cube root of 729 i.e. Cube root of 2 is approximately equal to (1 + 1+2)/3 = 4/3 = 1.333.. Again 4 is a number, which is not a perfect cube. Prime factors = 29×29×29 = 293 If we factorise it, we get: What is the cube root of 1331? The nearest previous perfect cube is 1000 and the nearest next perfect cube is 1728 . Finding this answer can be tricky, so it requires some... Our experts can answer your tough homework and study questions. Since 2 is not a perfect cube number. Consider the following example for a clear understanding: Therefore, the cube root of 2744 = ∛2744 = 2 × 7 = 14. 1728 as a … ∛1331. This long division process is used when the given number is not a perfect cube number. Cube Root of 1331. Cube root of a number can be found by a very simple method which is the prime factorization method.Cube root is denoted by ‘∛ ‘ symbol. We can find the cube-root of a number by the method of prime factorisation. Earn Transferable Credit & Get your Degree, Get access to this video and our entire Q&A library. = 2 x 2 Let us find the cube root of 343 with the help of the prime factorisation method. © copyright 2003-2020 Study.com. All rights reserved. With the help of the long division method, it is possible to find the cube roots for non-perfect cube numbers. Since 64 is a perfect cube of 4, therefore, it is easy to find its cube-root by prime factorisation method. 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Perfect ∛1000. Taking the cube roots both the sides, we get; Example: ∛8 = ∛(2 × 2 × 2) = 2.Since, 8 is a perfect cube number, it is easy to find the cube root of a number.. Finding the cubic root of non-perfect cube number is a little complex process but can be mastered easily.