Question

What is the smallest number that should be divided 3645 to get a perfect cube? ​

Answer 1

Answer:

⇒ 3645 × 5 = 18225

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

⇒3645=5×9×9×9

For a number to be a perfect cube , all the numbers should have triplets .

Here only 9 has a triplet . And 5 is 2 two times short of a triplet . Hence we multiply 5×5 both the sides.

⇒3645×5×5=5××5×5×9×9×9

Hence the smallest number by which 3645 must be multiplied to get a perfect cube is 25