Question

Используя свойство пары делителей, найдите, делителями какого числа являются числа: • 1, [ ] , 3, 4, 6, [ ] ,12, [ ] , 24 [ ] . Найдите это число. • Какие числа можно записать в рамочку? ПОМОГИТЕ

Answer 1

Среди чисел 1,..3,..12,..,24.. есть Четные, значит число четное и делится на 2.

Последний делитель (десятый) числа это само число и он в два раза больше предыдущего, так как на (1) все числа делятся, а 2 в делителях (Четные есть)

24•2=48 число.

Делители числа.

1;2;3;4;6;8;12;16;24;48


48:1=48
48:2=24
48:3=16;
48:4=12
48:6=8
48:8=6
48:12=4
48:16=3
48:24=2
48:48=1

Ответ: число 48. Делители числа 1;2;3;4;6;8;12;16;24;48.

Answer 2

Finding the Number Using the Property of Divisors

To find the number using the property of divisors, we can look at the given set of divisors: 1, 3, 4, 6, 12, and 24. We need to find a number that is divisible by all of these divisors.

Using the property of divisors, we can find the number by taking the least common multiple (LCM) of the given divisors.

The LCM of a set of numbers is the smallest number that is a multiple of each of the numbers in the set.

Finding the Least Common Multiple (LCM)

To find the LCM of the given divisors, we can use the property that the LCM of two numbers a and b is given by LCM(a, b) = (a * b) / GCD(a, b), where GCD(a, b) is the greatest common divisor of a and b.

1. LCM(1, 3) = (1 * 3) / GCD(1, 3) = 3 2. LCM(3, 4) = (3 * 4) / GCD(3, 4) = 12 3. LCM(12, 6) = (12 * 6) / GCD(12, 6) = 12 4. LCM(12, 24) = (12 * 24) / GCD(12, 24) = 24

Therefore, the number that is divisible by 1, 3, 4, 6, 12, and 24 is 24.

Numbers that Can be Written in a Frame

The numbers that can be written in a frame are not explicitly specified in the question. If you could provide more context or details about the "frame" and the specific requirements for the numbers, I would be happy to help further.

Feel free to ask if you have any more questions or need further assistance!