# Mental Maths DIVISION Techniques and Tricks

## Mental Maths DIVISION Techniques, Tricks and Shortcuts

Techniques:
Dividing by 5, 50, 500, and etc.: Multiply by 2 and then divide by 10, 100, 1000, and etc.
Ex.: 365/5 = 730/10 = 73

Dividing by 25, 250, 2500, and etc.: Multiply by 4 and divide by 100, 1000, 10000, and etc.

Dividing by 125: Multiply by 8 and then divide by 1000
Ex.: 36125/125 = 289000/1000 = 289

Tricks and Shortcuts:
It can be divided evenly by:
• 2 if the number ends in 0, 2, 4, 6, and 8
• 3 if the sum of the digits in the number is divisible by 3
• 4 if the number ends in 00 or a 2 digit number divisible by 4
• 5 if the number ends in 0 or 5
• 6 if the number is even and the sum of the digits is divisible by 3
• 7 sorry, you must just try this one
• 8 if the last three digits are 000 or divisible by 8
• 9 if the sum of the digits are divisible by 9
• 10 if the number ends in 0
• 11 if the number has an even number of digits that are all the same: 33, 4444, 777777, and etc.
• 11 if, beginning from the right, subtracting the smaller of the sums of the even digits and odd digits results in a number equal to 0 or divisible by 11:
•  Ex.: 406857/11 Even = 15 Odd = 15 = 0
• Ex.: 1049807/11 Even = 9 Odd = 20 = 11
• 12 if test for divisibility by 3 & 4 work
• 15 if test for divisibility by 3 & 5 work
Others by using tests above in different multiplication combinations

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