DIVISIBILITY+RULES

**Dividing by 3**
 * Dividing by 2 **
 * 1) All even numbers are divisible by 2. E.g., all numbers ending in 0,2,4,6 or 8.
 * 1) Add up all the digits in the number.
 * 2) Find out what the sum is. If the sum is divisible by 3, so is the number
 * 3) For example: 12123 (1+2+1+2+3=9) 9 is divisible by 3, therefore 12123 is too!

**Dividing by 4 ** **Dividing by 5 ** **Dividing by 6 ** **Dividing by 7 (2 Tests) ** **Dividing by 8 ** **Dividing by 9 ** **Dividing by 10 **
 * 1) Are the last two digits in your number divisible by 4?
 * 2) If so, the number is too!
 * 3) For example: 358912 ends in 12 which is divisible by 4, thus so is 358912.
 * 1) <span style="font-family: verdana,arial,helvetica,sans-serif; font-size: 12px;">Numbers ending in a 5 or a 0 are always divisible by 5.
 * 1) <span style="font-family: verdana,arial,helvetica,sans-serif; font-size: 12px;">If the Number is divisible by 2 and 3 it is divisible by 6 also.
 * <span style="font-family: verdana,arial,helvetica,sans-serif; font-size: 12px;">Take the last digit in a number.
 * <span style="font-family: verdana,arial,helvetica,sans-serif; font-size: 12px;">Double and subtract the last digit in your number from the rest of the digits.
 * <span style="font-family: verdana,arial,helvetica,sans-serif; font-size: 12px;">Repeat the process for larger numbers.
 * <span style="font-family: verdana,arial,helvetica,sans-serif; font-size: 12px;">Example: 357 (Double the 7 to get 14. Subtract 14 from 35 to get 21 which is divisible by 7 and we can now say that 357 is divisible by 7.
 * <span style="font-family: verdana,arial,helvetica,sans-serif; font-size: 12px;">**NEXT TEST**
 * <span style="font-family: verdana,arial,helvetica,sans-serif; font-size: 12px;">Take the number and multiply each digit beginning on the right hand side (ones) by 1, 3, 2, 6, 4, 5. Repeat this sequence as necessary
 * <span style="font-family: verdana,arial,helvetica,sans-serif; font-size: 12px;">Add the products.
 * <span style="font-family: verdana,arial,helvetica,sans-serif; font-size: 12px;">If the sum is divisible by 7 - so is your number.
 * <span style="font-family: verdana,arial,helvetica,sans-serif; font-size: 12px;">Example: Is 2016 divisible by 7?
 * <span style="font-family: verdana,arial,helvetica,sans-serif; font-size: 12px;">6(1) + 1(3) + 0(2) + 2(6) = 21
 * <span style="font-family: verdana,arial,helvetica,sans-serif; font-size: 12px;">21 is divisible by 7 and we can now say that 2016 is also divisible by 7.
 * 1) <span style="font-family: verdana,arial,helvetica,sans-serif; font-size: 12px;">This one's not as easy, if the last 3 digits are divisible by 8, so is the entire number.
 * 2) <span style="font-family: verdana,arial,helvetica,sans-serif; font-size: 12px;">Example: 6008 - The last 3 digits are divisible by 8, therefore, so is 6008.
 * 1) <span style="font-family: verdana,arial,helvetica,sans-serif; font-size: 12px;">Almost the same rule and dividing by 3. Add up all the digits in the number.
 * 2) <span style="font-family: verdana,arial,helvetica,sans-serif; font-size: 12px;">Find out what the sum is. If the sum is divisible by 9, so is the number.
 * 3) <span style="font-family: verdana,arial,helvetica,sans-serif; font-size: 12px;">For example: 43785 (4+3+7+8+5=27) 27 is divisible by 9, therefore 43785 is too!
 * 1) <span style="font-family: verdana,arial,helvetica,sans-serif; font-size: 12px;">If the number ends in a 0, it is divisible by 10

<span style="font-family: verdana,arial,helvetica,sans-serif; font-size: 12px;">CHECK YOUR UNDERSTANDING:
 * **<span style="font-family: 'Arial','sans-serif';">I. Apply the divisibility rules to solve the chart **<span style="font-family: 'Arial','sans-serif';">. Mark with an X if the numbers are divisible by them.

|| <span style="font-family: 'Arial','sans-serif';">Numbers || <span style="font-family: 'Arial','sans-serif';">2 || <span style="font-family: 'Arial','sans-serif';">3 || <span style="font-family: 'Arial','sans-serif';">4 || <span style="font-family: 'Arial','sans-serif';">5 || <span style="font-family: 'Arial','sans-serif';">6 || <span style="font-family: 'Arial','sans-serif';">7 || <span style="font-family: 'Arial','sans-serif';">8 || <span style="font-family: 'Arial','sans-serif';">9 || <span style="font-family: 'Arial','sans-serif';">10 ||  ||   ||
 * <span style="font-family: 'Arial','sans-serif';"> 200 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * <span style="font-family: 'Arial','sans-serif';"> 425 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * <span style="font-family: 'Arial','sans-serif';"> 1296 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * <span style="font-family: 'Arial','sans-serif';">312,432 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * <span style="font-family: 'Arial','sans-serif';">20,610 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * <span style="font-family: 'Arial','sans-serif';">910 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * <span style="font-family: 'Arial','sans-serif';">28,456 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||