Find the smallest number by which -6125 should be multiplied to make i

1.	Find the smallest number by which -6125 should be multiplied to make it a, perfect cube.I need a full explanation for this question
Answer» $\large{\boxed{\red{\textbf{Brainliest\:Please}}}}$ To find :- SMALLEST number by which 6125 should be multiplied to make it a, PERFECT cube. SOLUTION :- first , we will find its prime factorisation. 5 \| 6125 5 \| 1225 5 \| 245 7 \| 49 7 \| 7 ⠀\| 1 Here, the prime factors are :- 5 × 5 × 5 × 7 × 7 If we multiply 5 to 5 × 5 × 5 × 7 × 7 we will GET two pairs of all the DIGITS. _____ ⠀ _____ ⠀ _____ ⠀ _____ ⠀ _____ 5 × 5 × 5 × 5 × 7 × 7 [ two pairs :- 5 × 5 × 7 = 175 ] 5 × 5 × 5 × 5 × 7 × 7 = 6125 × 5 = 30,625 Hence, 30,625 is the perfect square of 175.

Find the smallest number by which -6125 should be multiplied to make it a, perfect cube.I need a full explanation for this question

Answer»

$\large{\boxed{\red{\textbf{Brainliest\:Please}}}}$

first , we will find its prime factorisation.

5 | 6125

5 | 1225

5 | 245

7 | 49

7 | 7

⠀| 1

Here, the prime factors are :- 5 × 5 × 5 × 7 × 7

If we multiply 5 to 5 × 5 × 5 × 7 × 7 we will GET two pairs of all the DIGITS.

_____ ⠀ _____ ⠀ _____ ⠀ _____ ⠀ _____

5 × 5 × 5 × 5 × 7 × 7 [ two pairs :- 5 × 5 × 7 = 175 ]

5 × 5 × 5 × 5 × 7 × 7 = 6125 × 5 = 30,625

Hence, 30,625 is the perfect square of 175.