First, you must use a factor tree to find the prime factors of the number.
12
/ \
6 (2)
/ \
(3) (2)
2 , 2 and 3 are the prime factors that make 12
2 x 2 x 3= 12
Or
2^2 x 3= 12
Let, the number = x
It would be: x * 0.135 = 57
x = 57 / 0.135
x = 422.23
Hope this helps!
(a) Without solving the equation we can't determine whether its true or false.
(b) If x = 3
4x + 1 = 2x + 5
4(3) + 1 = 2(3) + 5
12 + 1 = 15 + 5
13 = 20
No, if x = 3, the equation will not be true.
(c) 4x + 1 = 2x + 5
4x - 2x = 5 - 1
2x = 4
x = 4/2
x = 2
This shows that x = 2 makes the equation true.
ANSWER

EXPLANATION
The given equation is

Divide both sides by


Cancel out common factors on the left hand side,

For this solution to be a whole number, then

should be a factor of

.
The reason is that, factors of 6 will divide exactly in to 6 without a remainder, making the answer a whole number.
The whole numbers that are factors of 6 are,

Note that, the set of whole numbers are,
{

}