Question

find the smallest number by which 1372 must be divided so that the question is a perfect square​

Answer 1

Question:

Find the smallest number by which 1372 must be divided so that the question is a perfect square.

To find:

$\bigstar Smallest \: number = ?$

$\bigstar Divided \: by = ?$

$\bigstar Cube \:root = ?$

Answer:

$\bigstar Smallest \: number \: is \: \sf \red{ 4}$

$\bigstar Divided \: by = 4$

$\bigstar Cube \: root \: of \: 343 \: is \: \underline{ \: \sf \pink{\bold{7}} \: }$

Step-by-step explanation:

$1372 = 2 \times 2 \times 7 \times 7 \times 7$

$\therefore1372 \: is \: not \: a \: perfect \: cube.$

When 1372 is divided by 2 we get,

Quotient = 59 and Remainder = 5

When 1372 is divided by 3 we get,

Quotient = 457 and Remainder = 1

When 1372 is divided by 4 we get,

Quotient = 343 and Remainder = 0

$\therefore The \: smallest \: number \: is \: \underline{ \: \sf \pink{\bold{4}} \: }$

$\therefore \bold{343} \: is \: a \: perfect \: cube.$

$343 = 7 \times 7 \times 7$

$Cube \: root \: of \: 343 \: is \: \underline{ \: \bold{7} \: }$