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To find numbers between 30 and 40 that are divisible by both 4 and 9, we need to find the least common multiple of 4 and 9, which is 36. The numbers between 30 and 40 that are divisible by 4 and 9 are 36.
Yes, 441 is divisible by 9. To determine if a number is divisible by 9, you can add up its digits. In this case, 4 + 4 + 1 = 9, which is divisible by 9. Therefore, 441 is divisible by 9.
To find the numbers between 1 and 100 inclusive that are divisible by either 9 or 4, we first determine how many numbers are divisible by 9 and how many are divisible by 4. There are 11 numbers divisible by 9 (9, 18, 27, ..., 99) and 25 numbers divisible by 4 (4, 8, 12, ..., 100). However, we must be careful not to double-count numbers divisible by both 9 and 4 (36, 72). Therefore, the total number of numbers divisible by 9 or 4 between 1 and 100 inclusive is 11 + 25 - 2 = 34.
To determine if a number is divisible by 6, we need to check if it is divisible by both 2 and 3. The number 34614 is divisible by 2 because it is even (the last digit is even). To check if it is divisible by 3, we sum the digits: 3 + 4 + 6 + 1 + 4 = 18, which is divisible by 3, so 34614 is divisible by 3. Therefore, 34614 is divisible by 6. To check if it is divisible by 9, we sum the digits again: 3 + 4 + 6 + 1 + 4 = 18, which is divisible by 9, so 34614 is divisible by 9 as well.