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Which of the following is an Armstrong number?(Armstrong number is a number that is equal to the sum of cubes of its digits.) 123 333 407 663

Question

Which of the following is an Armstrong number?

(Armstrong number is a number that is equal to the sum of cubes of its digits.)

  • 123
  • 333
  • 407
  • 663
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Solution

To find out which of the given numbers is an Armstrong number, we need to check each number individually.

  1. 123: The cube of each digit is 1^3=1, 2^3=8, 3^3=27. The sum of these is 1+8+27=36, which is not equal to 123. So, 123 is not an Armstrong number.

  2. 333: The cube of each digit is 3^3=27. The sum of these is 27+27+27=81, which is not equal to 333. So, 333 is not an Armstrong number.

  3. 407: The cube of each digit is 4^3=64, 0^3=0, 7^3=343. The sum of these is 64+0+343=407, which is equal to 407. So, 407 is an Armstrong number.

  4. 663: The cube of each digit is 6^3=216, 6^3=216, 3^3=27. The sum of these is 216+216+27=459, which is not equal to 663. So, 663 is not an Armstrong number.

Therefore, the only Armstrong number in the list is 407.

This problem has been solved

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