Скачать или смотреть difference between divisors and proper divisors of any number✔applications💯

Divisors and proper divisors are related terms used in number theory.

Divisors: The divisors of a given number are the numbers that divide evenly into that number without leaving a remainder. In other words, if you divide the given number by its divisors, the result will be a whole number. For example, the divisors of 12 are 1, 2, 3, 4, 6, and 12 because 12 divided by these numbers results in whole numbers (12 ÷ 1 = 12, 12 ÷ 2 = 6, 12 ÷ 3 = 4, 12 ÷ 4 = 3, 12 ÷ 6 = 2, 12 ÷ 12 = 1).

Proper divisors: Proper divisors are a subset of divisors. They are the divisors of a number excluding the number itself. In other words, proper divisors do not include the given number as a divisor. For example, the proper divisors of 12 are 1, 2, 3, 4, and 6 because these numbers divide 12 without leaving a remainder, but 12 itself is not considered a proper divisor.

To summarize:
Divisors of a number include all the numbers that divide that number without a remainder, including the number itself.
Proper divisors of a number include all the divisors except the number itself.


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