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3 and 9.
345 is an odd number. This is because odd numbers don't divide by 2 exactly, but even numbers do divide by 2 exactly. 345 divided by 2 is 172.5 which is not a whole number. Therefore 345 is an odd number.
To divide 30 into 3 odd numbers, we can use the formula for the sum of an arithmetic series: (S_n = \frac{n}{2}(a_1 + a_n)), where (S_n) is the sum of the series, (n) is the number of terms, (a_1) is the first term, and (a_n) is the last term. Since we want 3 odd numbers, we can let the first odd number be 1, the second odd number be 3, and the third odd number be 5. Thus, the sum of the series is (S_3 = \frac{3}{2}(1 + 5) = 3 \times 3 = 9). Since 9 is less than 30, we can conclude that it is not possible to divide 30 into 3 odd numbers.
To determine the number of odd numbers between 100 and 200, we need to consider that odd numbers are integers that are not divisible by 2. The first odd number in this range is 101, and the last odd number is 199. To find the total count, we can subtract the first odd number from the last odd number and divide by 2, then add 1 to include both endpoints. So, (199 - 101) / 2 + 1 = 50 odd numbers.
To divide 50 into 5 odd numbers, you can start by finding the middle number, which is 25. Then, you can subtract consecutive odd numbers from 25 to get the other numbers. For example, 25 - 4 = 21, 25 - 2 = 23, 25 + 2 = 27, and 25 + 4 = 29. These five numbers, 21, 23, 25, 27, and 29, are odd and add up to 50.