Question

Find the least number to divide 61440 to make it a perfect square​

Answer 1

$\huge{ANSWER:-}$

The prime factors of 61440 are,

212 × 3 × 5 .

As a square number must possess prime factors with even numbered exponents then division by 15 will leave 212 which is (26)².

$Thus, \: 61440 ÷ 15 = 4096 = 64²$

$\huge \red \star{ \: 64 {}^{2} }$

Answer 2

Answer:

The prime factors of 61440 are 212 × 3 × 5 .

As a square number must possess prime factors with even numbered exponents then division by 15 will leave 212 which is (26)².

Thus, 61440 ÷ 15 = 4096 = 64².

Hope this is helpful for you.