Identifying the Odd One Out
To find the odd one out among the numbers 217, 143, 214, 157, and 131, we can analyze their properties, specifically focusing on prime factors and parity (even or odd).
Even and Odd Numbers
- 217: Odd
- 143: Odd
- 214: Even
- 157: Odd
- 131: Odd
From this analysis, we see that 214 is the only even number, while all others are odd.
Sum of Digits
Next, let’s examine the sum of the digits for each number:
- 217: 2 + 1 + 7 = 10
- 143: 1 + 4 + 3 = 8
- 214: 2 + 1 + 4 = 7
- 157: 1 + 5 + 7 = 13
- 131: 1 + 3 + 1 = 5
In terms of the sum of the digits, there's no distinct pattern that sets one number apart in this context.
Prime Factorization
Now, let's look at prime factorization:
- 217 = 7 x 31
- 143 = 11 x 13
- 214 = 2 x 107
- 157 = Prime
- 131 = Prime
Here, both 157 and 131 are prime numbers, while the others can be factored into composite forms.
Conclusion
After analyzing both parity and prime factorization, it is clear that:
- Odd One Out: 214
This number is the only even number in the group, making it the odd one out based on the criterion of evenness versus oddness.