Question

ДОКАЖИТЕ, является 1001 простым числом или же сложным?(мне не нужно так что "делится на1, 3 , 1001 и на 27, это я знаю. А вот как оформить доказательство?)

Answer 1

Просто напиши, что так как 1001 делится не только на 1 и 1001, а ещё и на, допустим, 7 (получится 143) и наоборот делится на 143 => получается 7, то значит 1001 является сложным числом. чтд

Answer 2

Determining if 1001 is a Prime or Composite Number

To determine if 1001 is a prime or composite number, we need to understand the characteristics of prime and composite numbers and then apply those characteristics to 1001.

Prime Numbers: - Definition: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. - Characteristics: Prime numbers have only two distinct positive divisors: 1 and the number itself.

Composite Numbers: - Definition: A composite number is a natural number greater than 1 that has at least one positive divisor other than 1 and itself. - Characteristics: Composite numbers have more than two distinct positive divisors.

Analysis of 1001

To determine if 1001 is a prime or composite number, we need to check its divisors.

1001 can be expressed as 7 * 11 * 13. Since 1001 has divisors other than 1 and itself, it is a composite number.

Therefore, 1001 is a composite number.

This conclusion is supported by the factorization of 1001 into 7, 11, and 13, indicating that it has divisors other than 1 and itself.

If you have any further questions or need additional information, feel free to ask!