Question

The number of factors of 360 which are perfect squares is
a. 2
b. 3
C. 4
d. 6​

Answer 1

Step-by-step explanation:

Factors of 360= 5 x 2 x 9 x 4

= 5 x 2 x (3 x 3) x (2 x 2)

We know that 5 and 2 are not perfect squares but 9 and 4 are.

So, 360 has only 2 perfect squares.

Therefore answer,

a. 2

Answer 2

Answer:

There are 4 factors of 360 that are a perfect square.

Step-by-step explanation:

We need to find the factors of 360 that are a perfect square.

Therefore, The factors of 360 are:

360 = 1 x 2 x 3 x 4 x 5 x 6 x 8 x 9 x 10 x 12 x 15 x 18 x 20 x 24 x 30 x 36 x 40 x 45 x 60 x 72 x 90 x 120 x 180 x 360

Out of these we know that 1² = 1

2² = 4

3² = 9

6² = 36

Therefore, the numbers that are a perfect square are:

1 , 4 , 9 , 36

Therefore, there are 4 factors of 360 that are a perfect square.