Question
example of a number that is divisible by 2,3 and 4, and that is formed by five non-zero digits.
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Answer to a math question example of a number that is divisible by 2,3 and 4, and that is formed by five non-zero digits.
Gerhard
4.594 Answers
1. A number is divisible by 2 if its last digit is even.
2. A number is divisible by 3 if the sum of its digits is divisible by 3.
3. A number is divisible by 4 if the number formed by its last two digits is divisible by 4.
We choose five distinct non-zero digits to ensure a five-digit number. Let's choose the digits 2, 4, 6, 3, and 5.
Check divisibility:
- For 2: the last digit is 6 (even).
- For 3: sum of the digits:2 + 6 + 4 + 3 + 5 = 20
Choose digits: 2, 6, 4, 3, 6.
Sum of digits:2 + 6 + 4 + 3 + 6 = 21
- For 4: the last two digits are 36 which is divisible by 4.
So, the chosen number26436
Answer:
26436
2. A number is divisible by 3 if the sum of its digits is divisible by 3.
3. A number is divisible by 4 if the number formed by its last two digits is divisible by 4.
We choose five distinct non-zero digits to ensure a five-digit number. Let's choose the digits 2, 4, 6, 3, and 5.
Check divisibility:
- For 2: the last digit is 6 (even).
- For 3: sum of the digits:
Choose digits: 2, 6, 4, 3, 6.
Sum of digits:
- For 4: the last two digits are 36 which is divisible by 4.
So, the chosen number
Answer:
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