Question

What is the smallest square number which is divisible by 24569?

Answer 1

Answer:

900 [(30)square] is the smallest square digit no. which is divisible by 2,4,5,6,9

Answer 2

Answer:

No smallest square number is divisible by 24569.

Step-by-step explanation:

To find : What is the smallest square number which is divisible by 2,4,5,6,9?

Solution :

First we find the LCM of 2,4,5,6,9.

2 | 2  4  5  6  9

2 | 1   2  5  3  9

3 | 1    1  5  3  9

3 | 1    1  5  1   3

5 | 1    1  5  1   1

  | 1    1  1  1   1

$LCM(2,4,5,6,9)=2\times 2\times 3\times 3\times 5$

$LCM(2,4,5,6,9)=180$

Now, We need the smallest square number divisible by 2,4,5,6,9.

As only 5 is not in pair.

So, We multiply 5 with LCM

$n=180\times 5$

$n=900$

Therefore, The required smallest square number is divisible by 2,4,5,6,9 is 900.