What term is used to describe a number with the property that the sum of all factors of the number including 1 and the number itself is equal to twice the number?
Answer:
Perfect Number
- By definition, a number is a perfect number if the sum of all factors of the number including 1 and the number itself is equal to twice the number.
- Let us illustrate this through an example:
1 x 6 = 6
2 x 3 = 6
3 x 2 = 6
6 x 1 = 6 - Here, the factors of 6 include 1, 2, 3, and 6.
- We have 1 + 2 + 3 + 6 = 12, and 2 x 6 = 12. Therefore 6 is a perfect number.