Answer:
To find the smallest number to multiply 35,721 by to get a perfect cube, we need to factorize the number.
The prime factorization of 35,721 is: 3^3 * 29 * 43
To make it a perfect cube, we need each prime factor to have an exponent divisible by 3.
The smallest number by which we can multiply 35,721 to make it a perfect cube is: 3 * 29 * 43^2 = 499,947.
So, multiplying 35,721 by 43^2 (or 43 * 43) will result in a perfect cube.
Step-by-step explanation:
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35721 is a not perfect cube. However, if the number is multiplied by 7, the factors be grouped into triples of equal factors such that no factor is left over.
Thus, 35721 should be multiplied by 7 to make it a perfect cube.
Hope it helps you ☺️ ✨
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Answers & Comments
Answer:
To find the smallest number to multiply 35,721 by to get a perfect cube, we need to factorize the number.
The prime factorization of 35,721 is: 3^3 * 29 * 43
To make it a perfect cube, we need each prime factor to have an exponent divisible by 3.
The smallest number by which we can multiply 35,721 to make it a perfect cube is: 3 * 29 * 43^2 = 499,947.
So, multiplying 35,721 by 43^2 (or 43 * 43) will result in a perfect cube.
Step-by-step explanation:
could you please mark me as a brainlist please Please
35721 is a not perfect cube. However, if the number is multiplied by 7, the factors be grouped into triples of equal factors such that no factor is left over.
Thus, 35721 should be multiplied by 7 to make it a perfect cube.
Hope it helps you ☺️ ✨