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Is 45975 divisible by 15? Give reason fo...

Is 45975 divisible by 15? Give reason for you answer.

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To determine if 45975 is divisible by 15, we need to check if it is divisible by both 3 and 5, since 15 is the product of these two numbers. ### Step 1: Check divisibility by 3 To check if a number is divisible by 3, we sum its digits and see if that sum is divisible by 3. - The digits of 45975 are: 4, 5, 9, 7, and 5. - Now, let's add these digits together: - 4 + 5 = 9 - 9 + 9 = 18 - 18 + 7 = 25 - 25 + 5 = 30 Now we have the sum of the digits: 30. - Next, we check if 30 is divisible by 3. Since 30 divided by 3 equals 10 (which is a whole number), we conclude that 30 is divisible by 3. **Conclusion for Step 1:** 45975 is divisible by 3. ### Step 2: Check divisibility by 5 To check if a number is divisible by 5, we look at its last digit. A number is divisible by 5 if its last digit is either 0 or 5. - The last digit of 45975 is 5. **Conclusion for Step 2:** 45975 is divisible by 5. ### Final Conclusion Since 45975 is divisible by both 3 and 5, we can conclude that it is also divisible by 15. **Final Answer:** Yes, 45975 is divisible by 15 because it is divisible by both 3 and 5. ---
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