# What is 5 52 divided by 7

## Divisible by 7

Reading time: 5 min

A number is divisible by if its last two digits plus 2 times all digits before are divisible by.

### Examples

The test is correct if the division yields an integer. The number is then given by the number mentioned **divisible**.

- Check with

→ is divisible by, so is also divisible by ✓ - Check with

→ is divisible by, so is also divisible by ✓ - Check with

→ is divisible by, so is also divisible by ✓ - Check with

→ Carry out the procedure again:

check with

→ is divisible by, so is also divisible by ✓

If the check number is not simply divisible in your head, you repeat the process with the check number.

For the example. Procedure again with, that is:, and is divisible by.

### Counterexamples

The sample is not correct if there is a remainder left after division (or a decimal number results). The number is then given by the number mentioned **not divisible**.

- Check with

→ ✗ - Check with

→ again with, so: ✗ - Check with

→ again with, so: ✗

In addition to the divisibility rule presented above, there are others, for example:

### Divisible by 7 over the **alternating 3 digits**

alternating = sign changing from number to number

Example:

→ is divisible, so is also divisible by

### Divisible by 7 over twice the last digit

This procedure can also be used to check divisibility by 7. We take the double of the last digit and subtract it from all the preceding digits, removing the last digit (as an iteration).

Example:

→ is divisible, so it is also divisible

The rule is: "A number is divisible by if and only is divisible by."

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