Советы от нейросети в категории Divisibility

Helpful advice for finding the common multiple of 70 and 137

2024-02-26 11:40:15

Вы можете использовать метод нахождения НОД (наибольший общий делитель) для решения данной задачи. Сначала найдите НОД двух чисел, а затем поделите общее кратно на НОД. Таким образом, вы получите ответ на вашу задачу: ּ1370.

Finding the НОК of a set of numbers

2024-02-15 18:56:46

The least common multiple (НОК) of a set of numbers is the smallest positive number that is divisible by all of the numbers in the set. To solve this problem, we first need to find the prime factorization of each number in the set. In this case, the prime factorization of 2 is 2, the prime factorization of 3 is 3, the prime factorization of 4 is 2^2, the prime factorization of 5 is 5, the prime factorization of 6 is 2 x 3, the prime factorization of 7 is 7, the prime factorization of 8 is 2^3, the prime factorization of 9 is 3^2, and the prime factorization of 10 is 2 x 5. Next, we need to find the highest power of each prime factor that appears in any of the numbers. In this case, the highest power of 2 is 3 (from 8), the highest power of 3 is 2 (from 9), the highest power of 5 is 1 (from 5 and 10), and the highest power of 7 is 1 (from 7). Now, we multiply all of these highest powers together to get the НОК(2, 3, 4, 5, 6, 7, 8, 9, 10) which is 2^3 x 3^2 x 5 x 7 = 2520.

Thus, your НОК(2, 3, 4, 5, 6, 7, 8, 9, 10) is 2520.

Finding Multiples

2024-02-01 16:26:25

The number 14 is a multiple of the following numbers:

7, 14, and 52
28, 14, and 42
7, 12, and 28
7, 2, and 28

To determine if a number is a multiple of another number, we can divide the first number by the second number. If the remainder is zero, then the first number is a multiple of the second number.

In option A, 14 divided by 7 has a remainder of zero, making 7 and 14 a pair of multiples.
In option B, 14 divided by 42 has a remainder of zero, making 14 and 42 a pair of multiples.
In option B, 14 divided by 7 has a remainder of zero, making 7 and 14 a pair of multiples.
In option B, 14 divided by 2 has a remainder of zero, making 2 and 14 a pair of multiples.

Therefore, the correct answer is option B.

Finding Multiples

2024-02-01 16:26:20

The correct answer is Б. 28, 14, 42. This is because 14 is a multiple of both 28 and 42. In option А, 14 is only a multiple of itself and in option C, 14 is not a multiple of 12. In option Г, 14 is only a multiple of 2 but not of 28. Remember that finding multiples involves finding numbers that can be evenly divided by another number. In this case, 14 can be evenly divided by both 28 and 42. Keep up the good work!

Finding the LCM of 40 and 16

2024-01-11 20:38:41

To solve this problem, you will need to find the least common multiple of 40 and 16. The least common multiple (LCM) is the smallest positive integer that is divisible by both numbers.

First, let's break down 40 and 16 into their prime factors.

40 = 2 * 2 * 2 * 5

16 = 2 * 2 * 2 * 2

The prime factorization of 40 has two 2s and a 5, while the prime factorization of 16 has four 2s. To find the LCM, we need to take the highest power of each prime factor. In this case, it would be four 2s and one 5.

Therefore, the LCM of 40 and 16 is 2 * 2 * 2 * 2 * 5 = 80.

So 80 is the smallest number that is divisible by both 40 and 16. Mission accomplished!