Welcome to Mathnasium’s Math Tricks, series. Today we are determining whether a number can be divided by a power of 2.

Recall that a number is a power of 2 if it can be expressed in the form 2n. For example, 64 is a power of 2 since it can be expressed as 26: 64 = 2 x 2 x 2 x 2 x 2 x 2.

A number is divisible by a power of 2 if *the last “power”-amount of digits can be divided by the power of 2.*

Follow the example below to determine whether the number is divisible by the power of 2.

__Example:__ Is 41,328 divisible by 16?

Step 1: Determine the power of 2.

16 = 24

Step 2: Check whether the last “power”-amount of digits can be divided by the power of 2.

Since 16 is the *fourth* power of 2, we check whether the last *four* digits of 41,328 can be divided by 16.

1,328 is divisible by 16 since it is divisible by 2, four times:

1,328 ÷ 2 = 664

664 ÷ 2 = 332

332 ÷ 2 = 166

166 ÷ 2 = 83

Answer: Yes.

Now, with this strategy, you are ready to determine if any number is divisible by a power of 2. Click here for more practice problems, then check your answers here.

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