Finding Factors by Using Divisibility Rules:


Note: Some of these rules will be more useful to find the Factors.


Characteristic of number
Number divisible by
Example
The last digit is even
2
208
The sum of all digits is divisible by 3
3
114
1+1+4 = 6
The last two digits are divisible by 4
4
288
The last digit is 0 or 5
5
75 or 50
The number is divisible by 2 and 3
6
2,154
Double the last digit, subtract it from the rest of the number. Is your answer divisible by 7?
7
574
4×2 = 8, 57−8 = 49, 49 ÷ 7 = 7

The last three digits are divisible by 8
8
1,888
The sum of the digits is divisible by 9
9
342
The number ends in 0
10
2,060
The number is divisible by both 3 and 4
12
3,024


» Go through each rule and see if it applies.

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