0
k = 98.
In the prime factorization (in power format) of a perfect cube, every prime must be to the power of a multiple of 3.
756 = 2^2 x 3^3 x 7
Thus the smallest perfect cube that is a multiple of 756 is 2^3 × 3^3 × 7^3; to obtain this need to multiply 756 by 2^1 × 3^0 × 7^2 = 98
Thus the smallest k to make 756k a perfect prime is k = 98.
What else can I help you with?
What is the smallest integer greater than 1 that is both a perfect square and perfect cube?
its 81
Is 77 a cube number?
If by cube you mean perfect cube (a cube of an integer), then no, and the nearest perfect cube is 81.
What is a perfect cube number?
A perfect cube is the cube of an integer (whole number). This means that, for n to be a perfect cube, n = x3, x∈ℤ Eg. ±1 [=(±1)3], 8 [=(±2)3], ±27 [= (±3)3], etc.
Which is the smallest natural number ending in '5' that is a perfect cube?
125
Is 196 perfect square or perfect cube?
196's prime numbers are (2) (2) (7) (7). For example, if you square those prime numbers you would get 14. Why? Because u need equal integers within a square root, so that you can take that integer outside the square root. With the same knowledge, we can apply ask the question whether 196 is a cube root. If it's a cube root, then it needs to have 3 same integer (ex: 3x3x3x4x4x4x; 2x2x2x7x7x7). As you can see we don't have third same integer. Also, even if it is 2x2x2x7x7, it cannot be a cube root because it is missing the third 7. So the answer is that 196 is a perfect square and not a perfect cube. Note: you cannot have a square root of a negative integer, if the question is "is -196 a perfect square or a perfect cube", then the answer is neither. Of course you can SQUARE the negative number (ex: (-2)^2=+/- 4), but you cannot mathematically square root a negative number unless your using the imaginary integer "i". I hope it answers your question and just a bit more.
What is the smallest integer where the integer before it is a perfect square and the integer after it is a perfect cube?
The integer is 26
Find the smallest integer k such that 756k is a perfect cube?
Factor 756 into prime factors. Then add additional prime factors, such that each prime factor occurs a number of times that is a multiple of 3. The product of the additional prime factors is "k".
What is the smallest integer greater than 1 that is both a perfect square and perfect cube?
its 81
Explain with workings What is the smallest positive integer q such that 25q is a perfect cube?
5
What is the smallest possible value of k if k is a perfect cube?
The smallest possible value of ( k ) if ( k ) is a perfect cube is ( 1 ), since ( 1^3 = 1 ). Perfect cubes are formed by multiplying integers by themselves three times, and the smallest integer, which is ( 1 ), yields the smallest perfect cube. Therefore, ( k = 1 ) is the answer.
The square root of a perfect square and the cube root of a perfect cube is?
an integer
Is 11025 a perfect cube?
No, 11025 is not a perfect cube. A perfect cube is an integer that can be expressed as the cube of another integer. The cube root of 11025 is approximately 22.2, which is not an integer, indicating that 11025 cannot be written as ( n^3 ) for any integer ( n ).
Why are perfect square and cube perfect?
Because they are square/cube of an integer.
Is 77 a cube number?
If by cube you mean perfect cube (a cube of an integer), then no, and the nearest perfect cube is 81.
How is 784 a perfect cube?
The number 784 is not a perfect cube. A perfect cube is defined as a number that can be expressed as the cube of an integer (i.e., (n^3) for some integer (n)). The cube root of 784 is approximately 9.24, which is not an integer, indicating that 784 cannot be represented as a whole number cubed.
What is the smallest positive integer e such that the cube root of 600e is an integer?
45
What is the difference between a cube and a perfect cube?
A cube is any number multiplied by itself three times, eg 2 cubed = 2³ = 2×2×2 = 8; 1.5³ = 1.5×1.5×1.5 = 3.375 A perfect cube is an integer (whole number) that is the cube of an integer, eg 8 is a perfect cube as it is 2 cubed, but 9 is not a perfect cube as 9 = 2.08008382...³
