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What is the smallest natural number by which 500 must be multiplied so that the product becomes a perfect cube?

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What is the smallest natural number by which 500 must be multiplied so that the product becomes a perfect cube?

Wow! The only factor that doesn’t occur in a group of 3 is 2. So, we would add one more factor of 2 to get 2 * 2 * 2 * 5 * 5 * 5 = 1000 which happens to be 10 cubed. So, the answer to your question is 2.

How do you make 500 a perfect cube?

∴ 500 is not a perfect cube. Which of the following are perfect cubes? Grouping the prime factors of 81 into triples, we are left with 3. ∴ the smallest required number is 2.

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What is smallest number with which 5400 may be multiplied so that the product is perfect cube?

5
We should multiply 5400 with 5 to get a perfect cube.

What is the smallest number by which must be multiplied so that the product is a perfect cube?

Hence, we need to multiply the same number twice to get the perfect cube. Which is $5 \times {5^2}$ will make the perfect cube. Hence the smallest number by $2560$ number must be multiplied so that the product is a perfect cube is $25$.

IS 250 a perfect cube if not then by which smallest natural number should 250 be divided so that the quotient is a perfect cube?

5 can be grouped easily, thus we should divide 250 by 2 to get a perfect cube.

What are the factors of 500?

Factors of 500

  • Factors of 500: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, and 500.
  • Prime Factorization of 500: 500 = 22 × 53

What is the value of under root 500?

22.36067
The square root of 500 is 22.36067.

What smallest number should 54000 be multiplied so that the product is a perfect cube also find the cube root of the product?

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So, 2 × 2 = 4 should be multiplied to 54000 to get a perfect cube.

What is the smallest natural number by which 4500 should be multiplied so that it becomes a perfect cube?

when you multiply 4500 with 5 the product is22500.

What is the smallest number by which each of the following number must be multiplied so that the product is a perfect cube also find the cube root of the product?

Step-by-step explanation: We know, a perfect cube has multiples of 3 as powers of prime factors. Here, number of 2’s is 8 and number of 3’s is 3. So we need to multiply another 2 to the factorization to make 6912 a perfect cube. Hence, the smallest number by which 6912 must be multiplied to obtain a perfect cube is 2.

What is the smallest number that must be multiplied so that 2560 is a perfect cube?

Hence, the smallest number by which it is multiplied = 25.

What is the smallest natural number that is equal to 500?

Answer. The smallest natural will be 250 that can be multiplied with 500 to make it perfect cube. Consider the cube root of 500, which is slightly lass than 8. Now consider the choices 8,9…. A must-have set of tools for multiplatform development.

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What is the smallest number that is equal to a perfect cube?

So, we multiply 1125 by 3 to make it a perfect cube Finds the smallest number multiplied to 5324 to get a perfect cube.

What is the smallest number multiplied by 90 to get?

Finds the smallest number multiplied by 90 to get a perfect square. Here, 2 & 5 do not occur in pairs. So, we multiply by 2 and 5 to make pairs. So, our number becomes. 90 × 2 × 5 = 2 × 3 × 3 × 5 × 2 × 5. Now, it becomes a perfect square. So, we multiply 90 by 2 × 5. i.e. 10 to make it a perfect square.

What is the smallest number multiplied by 32 to get?

Finds the smallest number multiplied by 32 to get a perfect square. Since 2 does not occur in pair, we multiply by 2 to make it a pair. So, our number becomes. Now, it becomes a perfect square. So, we multiply 32 by 2 to make it a perfect square.