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Question
State which of the following statements is true and which is false. Justify your answer.
496 ∉ {y | the sum of all the positive factors of y is 2y}.
Options
True
False
Solution
This statement is False.
Explanation:
Given that: 496 ∉ {y | the sum of all the positive factors of y is 2y}
∴ The positive factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248 and 496.
∴ The sum of all the positive factors of 496.
= 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248 + 496
= 2 × 496
= 992
Hence, the given statement is false.
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