By which smallest number must 4400 be multiplied to make it a perfect cube,?
Answers
Step-by-step explanation:
16.38is the correct answer
Given: 4400
To find: the smallest number by 4400 must be multiplied to make it a perfect cube.
Solution:
Since we have the number 4400 from the data, we must determine its perfect cube, which will be multiplied by the unknown number to get it.
As a result, we'll apply prime factorization to simplify the given integer.
Prime numbers can only be divisible by themselves and 1 and are also known as numbers whose factors are the same as the given number.
However, composite numbers that are divisible by one and certain other numbers are not divisible by themselves (at least one number other than 1 and itself)
Prime factorization may be used to represent any composite number.
Because 4400 is not a prime number, we may utilize the prime factor approach to solve it.
4400= 2 x 2 x 2 x 2 x 5 x 11
Clearly, we see that number 2 is repeated 4 times, 5 is repeated 2 times and 11 is occurring one time only.
Hence, we need to multiply the same number till we get the perfect cube which is 2 x 2 x 5 x 11 x 11 = 2420
Hence, the smallest number by 4400 must be multiplied, so that the perfect cube is 2420