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Which of the following numbers are divisible by 12?

A. 896436
B. 348232
C. 273942
D. 3456780
E. 2489224
F. 843384

Sagot :

GinnyAnswer
To determine which of the given numbers are divisible by 12, we need to apply the divisibility rules for 12. Specifically, a number is divisible by 12 if and only if it is divisible by both 3 and 4.

1. Divisibility by 3: A number is divisible by 3 if the sum of its digits is divisible by 3.
2. Divisibility by 4: A number is divisible by 4 if the last two digits of the number form a number that is divisible by 4.

Let's go through each number:

1. 896436
- Sum of digits: 8 + 9 + 6 + 4 + 3 + 6 = 36 (which is divisible by 3)
- Last two digits: 36 (which is divisible by 4)
- Therefore, 896436 is divisible by 12.

2. 348232
- Sum of digits: 3 + 4 + 8 + 2 + 3 + 2 = 22 (which is not divisible by 3)
- Therefore, 348232 is not divisible by 12 without need to check divisibility by 4.

3. 273942
- Sum of digits: 2 + 7 + 3 + 9 + 4 + 2 = 27 (which is divisible by 3)
- Last two digits: 42 (which is not divisible by 4)
- Therefore, 273942 is not divisible by 12.

4. 3456780
- Sum of digits: 3 + 4 + 5 + 6 + 7 + 8 + 0 = 33 (which is divisible by 3)
- Last two digits: 80 (which is divisible by 4)
- Therefore, 3456780 is divisible by 12.

5. 2489224
- Sum of digits: 2 + 4 + 8 + 9 + 2 + 2 + 4 = 31 (which is not divisible by 3)
- Therefore, 2489224 is not divisible by 12 without need to check divisibility by 4.

6. 843384
- Sum of digits: 8 + 4 + 3 + 3 + 8 + 4 = 30 (which is divisible by 3)
- Last two digits: 84 (which is divisible by 4)
- Therefore, 843384 is divisible by 12.

So, the numbers that are divisible by 12 are 896436, 3456780, and 843384.
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