Odd Number Identification: Divisibility Rule

The question asks us to identify the number that is different from the rest based on a specific pattern or property. We are given four numbers presented as options: 579, 468, 234, and 936.

Number Analysis

To find the odd one out, we need to look for a common characteristic shared by three of the numbers but not by the fourth. Let's examine the properties of each number.

Divisibility by 9 Check

A common strategy for solving "odd one out" number puzzles is to test divisibility rules. We will check if these numbers are divisible by 9. The rule for divisibility by 9 states that a number is divisible by 9 if the sum of its digits is divisible by 9.

Step-by-Step Number Verification

• Number 579: We calculate the sum of its digits: $5 + 7 + 9 = 21$. To check divisibility by 9, we see if 21 is divisible by 9. Since $21 \div 9 = 2$ with a remainder of 3, the number 579 is not divisible by 9.
• Number 468: We calculate the sum of its digits: $4 + 6 + 8 = 18$. To check divisibility by 9, we see if 18 is divisible by 9. Since $18 \div 9 = 2$ with no remainder, the number 468 is divisible by 9.
• Number 234: We calculate the sum of its digits: $2 + 3 + 4 = 9$. To check divisibility by 9, we see if 9 is divisible by 9. Since $9 \div 9 = 1$ with no remainder, the number 234 is divisible by 9.
• Number 936: We calculate the sum of its digits: $9 + 3 + 6 = 18$. To check divisibility by 9, we see if 18 is divisible by 9. Since $18 \div 9 = 2$ with no remainder, the number 936 is divisible by 9.

Final Odd Number Conclusion

From the analysis, we found that the numbers 468, 234, and 936 all share the property of being divisible by 9. The number 579 does not share this property, as it is not divisible by 9.

Therefore, the odd one out among the given numbers is 579.