Find the whole number that satisfies the following conditions: it is an integer between 1 and 40 inclusive
The number is a multiple of 4 but not a multiple of 8
3 is a factor of this number
The number is a square number

36

Step-by-step explanation:

Multiples of 4 (from 1-40)

4, 8, 12, 16, 20, 24, 28, 32, 36, 40

Multiples of 8 (from 1-40)

8, 16, 24, 32, 40

4, 12, 20, 28, 36 is one of them. Find out the factors of the 5 numbers.

4 = 1 x 4

12 = 1 x 12

= 2 x 6

= 3 x 4

20 = 1 x 20

= 2 x 10

= 4 x 5

28 = 1 x 28

= 2 x 14

= 4 x 7

36 = 1 x 36

= 2 x 18

= 3 x 13

= 4 x 9

= 6 x 6

That's about it, so 12 or 36 is the answer. Now find out which of the 2 numbers is a perfect square.

To find out a perfect square, the 2 numbers multiplying in have to be the same number.

6 x 6 = 36

So 36 is a perfect square since there are no 2 numbers which are the same value that can make up 12.