Tuesday, November 7, 2017

RULES FOR DIVISIBILITY

I helped my grade six daughter with her homework tonight and learned things I never knew.
Here's how to find out if there are multiples in any given number. Here's the youtube video that we learned it all from:

1.No explanation necessary. The answer is yes.
2. Any even number is divisible by 2.

Okay, this is where it gets interesting:

3. If you add up any number, your sum, if divisible by 3, is going to be divisible by three. For example, 458, 230 adds up to 22, which is not divisible by 3. This also eliminates the possibility of it being divisible by 6 or 9. If 22 is too big a number for you, you can add the digits together to get 4, and no for sure that it is not divisible by 3. Another example, 72,452, which adds up to 20, also not divisible by 3. Another example, 383, 655 adds up to 30. This is a number divisible by 3.

4. For divisibility by four, you just need to look at the last 2 numbers, no matter how big the number. For the numbers above: 458, 230, the number 30 is not divisible by 4. In 72, 451, the number 51 is not divisible by 4. Lastly, in the number 383, 655, the number 55 is not divisible by 4.

5. Five is another one most people recognize. If the number ends in 0 or 5, it is divisible by 5.

6. To be divisible by 6, it should be an even number also divisible by 3.

7. To be divisible by 9, add up the numbers, and divide the sum.

Hope that helps!

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