No.
A good test is to add up the digits of the number (5+3+2) and if that's divisible by three, then the original number is divisible by three.
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No
Yes, the answer is 266.
Any multiple of 532. In other words, just multiply 532 x 0, 532 x 1, 532 x 2, etc., to get all the multiples. Or start with 0 and add 532, over and over again.
Yes, if x is an integer divisible by 3, then x^2 is also divisible by 3. This is because for any integer x, x^2 will also be divisible by 3 if x is divisible by 3. This can be proven using the property that the square of any integer divisible by 3 will also be divisible by 3.
All numbers divisible by 3 are NOT divisible by 9. As an example, 6, which is divisible by 3, is not divisible by 9. However, all numbers divisible by 9 are also divisible by 3 because 9 is divisible by 3.