Table of Contents
Is 500 a Perfect Cube? The number 500 on prime factorization gives 2 × 2 × 5 × 5 × 5. Therefore the cube root of 500 is irrational, hence 500 is not a perfect cube.
IS 500 a perfect cube give reason?
∴ 500 is not a perfect cube. Grouping the prime factors of 81 into triples, we are left with 3. i.e. 64 is a perfect cube. Thus, the required smallest number is 3.
IS 512 a perfect cube yes or no?
As the cube root of 512 is a whole number, 512 is a perfect cube.
Is a 1000 perfect cube?
As the cube root of 1000 is a whole number, 1000 is a perfect cube.
IS 400 a perfect cube yes or no?
Since 2 & 5 do not occur in triplets. ∴ 400 is not a perfect cube.
IS 700 a perfect cube?
Is 700 a Perfect Cube? The number 700 on prime factorization gives 2 × 2 × 5 × 5 × 7. Therefore the cube root of 700 is irrational, hence 700 is not a perfect cube.
IS 125 a perfect cube?
As the cube root of 125 is a whole number, 125 is a perfect cube.
What is not a perfect cube?
Grouping the prime factors of 256 in triples, we are left over with 2 x 2. ∴ 256 is not a perfect cube. i.e. 512 is a perfect cube. thus, the required smallest number is 2.
Is 8 a perfect cube?
A perfect cube is a number which is equal to the number, multiplied by itself, three times. For example, 8 is a perfect cube because 3√8 = 2.
What should be divided by 53 to 40 to make it a perfect cube?
Hence the smallest number by which 53240 should be divided to make it a perfect cube is 5.
Is 2000 a perfect cube?
Is 2000 a Perfect Cube? The number 2000 on prime factorization gives 2 × 2 × 2 × 2 × 5 × 5 × 5. Therefore the cube root of 2000 is irrational, hence 2000 is not a perfect cube.
IS 169 a perfect cube?
Is 169 a Perfect Cube? The number 169 on prime factorization gives 13 × 13. Therefore the cube root of 169 is irrational, hence 169 is not a perfect cube.
IS 625 a perfect cube?
Is 625 a Perfect Cube? The number 625 on prime factorization gives 5 × 5 × 5 × 5. Here, the prime factor 5 is not in the power of 3. Therefore the cube root of 625 is irrational, hence 625 is not a perfect cube.
Why is 400 not a perfect cube?
Answer: Since 2 & 5 do not occur in triplets. ∴ 400 is not a perfect cube.
IS 392 a perfect cube?
Is 392 a Perfect Cube? The number 392 on prime factorization gives 2 × 2 × 2 × 7 × 7. Therefore the cube root of 392 is irrational, hence 392 is not a perfect cube.
IS 729 a perfect cube yes or no?
Step 2: Clearly, 729 is a perfect cube.
What Cubed is 750?
What is the Cube Root of 750? The cube root of 750 is the number which when multiplied by itself three times gives the product as 750. Since 750 can be expressed as 2 × 3 × 5 × 5 × 5. Therefore, the cube root of 750 = ∛(2 × 3 × 5 × 5 × 5) = 9.0856.
Is 343000 a perfect cube?
343000 is said to be a perfect cube because 70 x 70 x 70 is equal to 343000. Since 343000 is a whole number, it is a perfect cube.
Is 49 a Cube Root?
What is the Cube Root of 49? The cube root of 49 is the number which when multiplied by itself three times gives the product as 49. Since 49 can be expressed as 7 × 7. Therefore, the cube root of 49 = ∛(7 × 7) = 3.6593.
Is 27 a cube number?
A cube number is the answer when an integer is multiplied by itself, then multiplied by itself again. The first five cube numbers are: 1, 8, 27, 64 and 125.
Is 25 a perfect square?
25 is a perfect square. 25 is a natural number, and since there is another natural number 5, such that 52 = 25, 25 is a perfect square. Since 25 is a natural number and the square root of 25 is a natural number (5), 25 is a perfect square. 102.01 is a perfect square.
What can go into 125?
The factors of 125 are 1, 5, 25, and 125.
What is the cube of odd natural number?
Thus, 343 is the cube of an odd natural number.
What is a perfect cube?
A perfect cube is an integer that is equal to some other integer raised to the third power. We refer to raising a number to the third power as cubing the number. For example, 125 is a perfect cube because . However, 121 is not a perfect cube because there is no integer such that .
What is the cube of an even number?
(i) Cubes of an even number are 216, 8000, 4096. (ii) Cubes of an odd number are 729, 3375, 125, 343, 9261.
Is 75 a perfect cube?
Is 75 a Perfect Cube? The number 75 on prime factorization gives 3 × 5 × 5. Therefore the cube root of 75 is irrational, hence 75 is not a perfect cube.
IS 32 is a perfect cube?
The cube root of 32 is expressed as ∛32 or 2 ∛4 in the radical form and as (32)⅓ or (32)0.33 in the exponent form.Cube Root of 32. 1. What is the Cube Root of 32? 4. FAQs on Cube Root of 32.
Is 23 a cube number?
There is a finite set of numbers which cannot be expressed as the sum of distinct positive cubes: 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, (OEIS A001476). (Hardy and Wright 1979, p.Cubic Number. OEIS numbers 8 A018889 15, 22, 50, 114, 167, 175, 186, 9 A018888 23, 239.
IS 128 a perfect cube?
Is 128 a Perfect Cube? The number 128 on prime factorization gives 2 × 2 × 2 × 2 × 2 × 2 × 2. Here, the prime factor 2 is not in the power of 3. Therefore the cube root of 128 is irrational, hence 128 is not a perfect cube.
Is 1188 a perfect cube if not?
So, 1188 is not a perfect cube. So, if we divide 1188 by 2 × 2 × 11 = 44, then the prime factorisation of the quotient will not contain 2 and 11. Hence the smallest natural number by which 1188 should be divided to make it a perfect cube is 44.
Can a perfect cube end with 2 zeros?
Cubes and Cube Roots | Exercise 7.2 (ii) A perfect cube does not end with two zeros. (iii) If square of a number ends with 5, then its cube ends with 25.
