Divisibility Rules Explained

To determine which number divides 253118139, we need to check the divisibility rules for each option: 3, 12, 5, and 8.

Divisibility by 3

A number is divisible by 3 if the sum of its digits is divisible by 3.

Let's find the sum of the digits of 253118139:

Sum = $2 + 5 + 3 + 1 + 1 + 8 + 1 + 3 + 9 = 33$

Since 33 is divisible by 3 ($33 \div 3 = 11$), the number 253118139 is divisible by 3.

Divisibility by 5

A number is divisible by 5 if its last digit is either 0 or 5.

The last digit of 253118139 is 9.

Therefore, 253118139 is not divisible by 5.

Divisibility by 8

A number is divisible by 8 if the number formed by its last three digits is divisible by 8.

The last three digits of 253118139 are 139.

Let's check if 139 is divisible by 8:

$139 \div 8 = 17$ with a remainder of $3$.

Since 139 is not divisible by 8, the number 253118139 is not divisible by 8.

Divisibility by 12

A number is divisible by 12 if it is divisible by both 3 and 4.

We already established that 253118139 is divisible by 3.

Now let's check divisibility by 4. A number is divisible by 4 if the number formed by its last two digits is divisible by 4.

The last two digits of 253118139 are 39.

Let's check if 39 is divisible by 4:

$39 \div 4 = 9$ with a remainder of $3$.

Since 39 is not divisible by 4, the number 253118139 is not divisible by 4.

Because 253118139 is not divisible by 4, it cannot be divisible by 12.

Conclusion

Based on the divisibility rules:

• 253118139 is divisible by 3.
• 253118139 is not divisible by 5.
• 253118139 is not divisible by 8.
• 253118139 is not divisible by 12.

Therefore, the number 253118139 is divisible by 3 among the given options.