QuestionFind a four-digit natural number divisible by 4 but not by 8. Options: A. 1826 B. 2120 C. 2122 D. 4049 E. 1144 F. 1020
Studdy Solution
STEP 1
Assumptions1. We are looking for a four-digit natural number.
. The number must be divisible by4.
3. The number must not be divisible by8.
STEP 2
We know that a number is divisible by4 if the number formed by its last two digits is divisible by4.
STEP 3
We also know that a number is divisible by8 if the number formed by its last three digits is divisible by8.
STEP 4
Let's check the options one by one.
Option A1826The last two digits form the number26, which is not divisible by4. So, option A is not the correct answer.
Option B2120The last two digits form the number20, which is divisible by4. But the last three digits form the number120, which is also divisible by8. So, option B is not the correct answer.
Option C2122The last two digits form the number22, which is not divisible by4. So, option C is not the correct answer.
Option D4049The last two digits form the number49, which is not divisible by4. So, option D is not the correct answer.
Option1144The last two digits form the number44, which is divisible by4. But the last three digits form the number144, which is also divisible by8. So, option is not the correct answer.
Option F1020The last two digits form the number20, which is divisible by4. But the last three digits form the number020, which is also divisible by8. So, option F is not the correct answer.
Since none of the options meet the conditions, there seems to be a mistake in the problem or the options provided.
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