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List all two digit numbers that divide 109 with a remainder of 4?

There are many numbers that divide 109 with a remainder of 4. List all two-digit numbers that have that property.

If there is a remainder of 4, then 109-4= 105 should be completely divisible by the two-digit numbers. 
=> All two-digit divisors of 105.

Factors of 105 are 3,5,7. 
Two digit divisors are then 3*5=15, 3*7=21, 5*7=35

The two-digit numbers that divide 109 with a remainder of 4 is 15,21 and 35.


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