Question

Помогите пожалуйста !!!!!!Объясните, почему число, равное сумме 5*29+5*17, делится на 5. Какие еще простые делители есть у этого числа? Назовите какие-нибудь его делители,являющиеся составными числами.

Answer 1

5*(29+17)=5*46
Если один из множителей делится на 5,то и все произведение делится на 5.
Произведение разделится так же на 2 и на 23,потому что 46=2*23

Answer 2

Explanation of why the number, equal to the sum of 5*29 + 5*17, is divisible by 5

To understand why the number, equal to the sum of 5 multiplied by 29 plus 5 multiplied by 17, is divisible by 5, we need to consider the properties of divisibility.

A number is divisible by 5 if its units digit is either 0 or 5. In this case, we can calculate the sum of 5 multiplied by 29 plus 5 multiplied by 17 as follows:

5 * 29 + 5 * 17 = 145 + 85 = 230

The units digit of 230 is 0, which means that the number is divisible by 5. Therefore, the number, equal to the sum of 5 multiplied by 29 plus 5 multiplied by 17, is divisible by 5.

Other prime factors and composite divisors of the number

To find the other prime factors and composite divisors of the number, we can factorize it. The number, equal to the sum of 5 multiplied by 29 plus 5 multiplied by 17, can be factorized as follows:

5 * 29 + 5 * 17 = 145 + 85 = 230 = 2 * 5 * 23

From the factorization, we can see that the number has three prime factors: 2, 5, and 23. Additionally, the number has composite divisors, which are the products of these prime factors. Some composite divisors of 230 include 10 (2 * 5), 46 (2 * 23), and 115 (5 * 23).

Therefore, the number, equal to the sum of 5 multiplied by 29 plus 5 multiplied by 17, has prime factors of 2, 5, and 23, and composite divisors such as 10, 46, and 115.

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