Question

What should be multiplied to 2880 to make it a perfect square?

Answer 1

2/2880
2/1440
2/720
2/360
2/180
2/90
2/45
3/15
3/5
5/5
-----
1
so we need here one more 5 to be multiplied to 2880
2880×5=14400
to make it a perfect sq

Answer 2

Answer:

The number should be 5.

Step-by-step explanation:

Given : Number - 2880

To find : What should be multiplied to 2880 to make it a perfect square?

Solution :

First we do the prime factorization of the given number,

$2880=2\times2\times2\times2\times2\times2\times3\times3\times5$

Now, we see that 2 is making an even pair, 3 is also making an even pair , but 5 is not making an even pair so, if we multiply the number with 5 the even pair make a perfect square.

Multiply 2880 with 5

$2880\times 5=14400$

$\sqrt{14400}=120$

Therefore, The number should be 5.