Complete step-by-step answer: The Cube of odd numbers is always odd.

The probability when rolling a regular six-sided dice that the score is an odd number is three-sixths or three out of six.

Thus, cube of an odd natural number is odd.

(i) Cube of any odd number is even. (ii) A perfect cube does not end with two zeroes. (vi) The cube of a two-digit number may have seven or more digits. (vii) The cube of a single-digit number may be a single-digit number.

⇒ 292 is NOTa perfect cube. ⇒ A perfect cube requires its prime factors to have exponents that are a multiple of 3s.

Hence, the smallest number by which 392 must be multiplied to obtain a perfect cube is 7.

∴ 5324 is not a perfect cube.

it does not require any division but 2 repeated by 2 times. it means if we remove 2 then remain digit will be perfect cube. so we will divide it by 2*2=4. so that it will now a perfect cube.

The prime factorization of 4000 is 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5, hence, the cube root of 4000 in its lowest radical form is expressed as 10 ∛4….Cube Root of 4000.

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So, 16384 is not a perfect cube. Hence , the smallest number which is to be divided to make it a perfect cube is 2×2 = 4.

The cube root of 1331 is the number which when multiplied by itself three times gives the product as 1331. Since 1331 can be expressed as 11 × 11 × 11. Therefore, the cube root of 1331 = ∛(11 × 11 × 11) = 11.

11 is one of the factors! The orange divisor(s) above are the prime factors of the number 2,662. If we put all of it together we have the factors 2 x 11 x 11 x 11 = 2,662. It can also be written in exponential form as 21 x 113.

Answer. I am assuming you mean smallest whole number. Otherwise you could divide 2662 by (1/2662²) and have a quotient of 2662³, which would be a perfect cube. So ignoring any trick like that, prime factor 2662, and you get 2 x 11³, so divide 2662 by 2, the quotient is 11³, or 1331.

Answer. Yes, because the cube of an odd number is always odd and 4913 isn’t a multiple of 2.

Therefore, the cube root is the reverse method of evaluating a cube. Let 3√9261 = x, then 9261 = x3….Cube Root of 9261 By the Estimation Method.

Can you guess without factorisation what is its cube root? Similarly, guess the cube roots of 4913, 12167, 32768. ∴ Then ten’s digit of the cube root is 1. ∴ The tens digit of the cube root can be 2.

125 is a perfect cube number. 125 can be expressed as a sum of two squares in two different ways, 125 = 102 + 52 or 112 + 22. Square Root of 125 is expressed as 5 √5.

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Therefore, the cube root is the inverse method of finding the cube of a number. Let 3√2197 = x, then 2197 = x3….Cube Root of 2197 By the Estimation Method.

In algebraic terms, doubling a unit cube requires the construction of a line segment of length x, where x3 = 2; in other words, x = 3√2, the cube root of two. The impossibility of doubling the cube is therefore equivalent to the statement that 3√2 is not a constructible number.

What are first ten perfect cube numbers? The first ten cube numbers are 1, 8, 27, 64, 125, 216, 343, 512, 729 and 1000.

Is 3000 a Perfect Cube? The number 3000 on prime factorization gives 2 × 2 × 2 × 3 × 5 × 5 × 5. Here, the prime factor 3 is not in the power of 3. Therefore the cube root of 3000 is irrational, hence 3000 is not a perfect cube.