Is 437242 is divisible by 33?

Answer 1

In brief, no, 437,242 is not evenly divisible by 33.

To reduce the effort of divisibility, we need to look at the factors of 33 as follows:

33 = 3 * 11

Now, the rule of thumb concerning divisibility by 3 is that the sum of all of the numbers in a number that is divisible by three must be divisible by three. Looking that 437,242 as follows:

4 + 3 + 7 + 2 + 4 + 2 = 22

22 is not evenly divisible by 3, so the number 437,242 cannot be divisible by 33.

Since we have already proven that the chosen number is not divisible by three, we don't need to take the next step and prove if it is divisible by 11 (which 437,242 is not). However, if we were to do so,

The rule of thumb concerning divisibility by 11 is that you keep subtracting the truncated last digit of a number (for 437,242, the first truncated digit is the 2 at the end) until you get to a number that is divisible by 11. For the number 437,242:

437,242 -> 43,724 - 2 = 43,722

43,722 -> 4,372 - 2 = 4,370

4,370 -> 437 - 0 = 437

437 -> 43 - 7 = 36

36 is not divisible by 11, so 437,242 is not divisible by 11.