Math

QuestionFind a four-digit natural number divisible by 4 but not by 8. Choices: A. 1020 B. 1826 C. 4049 D. 2122 E. 1144 F. 2120

Studdy Solution

STEP 1

Assumptions1. We are looking for a four-digit natural number. . The number should be divisible by4.
3. The number should not be divisible by8.

STEP 2

A number is divisible by4 if the last two digits of the number form a number that is divisible by4.

STEP 3

A number is divisible by8 if the last three digits of the number form a number that is divisible by8.

STEP 4

We need to check each of the given options to see if they meet these criteria. Let's start with option A1020.

STEP 5

Check if the last two digits of1020 form a number that is divisible by4.
1020mod4=01020 \mod4 =0

STEP 6

Now, check if the last three digits of1020 form a number that is divisible by8.
020mod8=4020 \mod8 =4

STEP 7

Since1020 is divisible by4 and not by, it meets the criteria. Therefore, the correct answer is A1020.
The four-digit natural number that is divisible by4 and not by is1020.

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