Question

Докажите что числа а)481 и 555 не взаимно простые б)2145 и 283 взаимно простые в)625 кратно 25 г)36 является делителем 396

Answer 1

А) 481=13*37 555=37*3*5 из-за 37 не взаимно простые 
б) 283- простое число, а 2145 нацело на 283 не делится
в) 625 делится на 25 нацело
г) 396 делится на 36 нацело

Answer 2

Checking the Mutual Primality of Numbers

Let's go through each part of your question and provide detailed explanations and proofs for each case.

a) 481 and 555 are not coprime (not mutually prime)

Two numbers are said to be coprime or mutually prime if their greatest common divisor (GCD) is 1. Let's calculate the GCD of 481 and 555 to determine if they are coprime.

The GCD of 481 and 555 is 37, which is not equal to 1. Therefore, 481 and 555 are not coprime.

b) 2145 and 283 are coprime (mutually prime)

To determine if 2145 and 283 are coprime, we need to calculate their GCD.

The GCD of 2145 and 283 is 1. Therefore, 2145 and 283 are coprime.

c) 625 is divisible by 25

To check if 625 is divisible by 25, we can simply perform the division and see if the remainder is 0.

625 ÷ 25 = 25. Since the remainder is 0, we can conclude that 625 is divisible by 25.

d) 36 is a divisor of 396

To check if 36 is a divisor of 396, we can perform the division and see if the remainder is 0.

396 ÷ 36 = 11. Therefore, 36 is a divisor of 396.

I hope this helps! If you have further questions or need more explanations, feel free to ask.