Question

Сколько нулей на конце произведения всех натуральных чисел от 5 до 25?

Answer 1

5 нулей
в произведении
5 множителей каторые могут делить числа с 0 в единицах
это числа 5,10,15,20,25

Answer 2

Number of Zeros at the End of the Product of Natural Numbers from 5 to 25

To find the number of zeros at the end of the product of all natural numbers from 5 to 25, we need to determine the number of factors of 10 in the product. This is because a factor of 10 is composed of factors 2 and 5, and the number of factors 2 is always greater than the number of factors 5 in any given range of natural numbers.

To count the number of factors 5 in the range from 5 to 25, we can divide each number by 5 and count the number of times the division is exact. However, since there are numbers like 25 that have multiple factors of 5, we need to consider those as well.

Let's calculate the number of factors of 5 in the range from 5 to 25:

- 5 ÷ 5 = 1 (1 factor of 5) - 10 ÷ 5 = 2 (1 factor of 5) - 15 ÷ 5 = 3 (1 factor of 5) - 20 ÷ 5 = 4 (1 factor of 5) - 25 ÷ 5 = 5 (1 factor of 5)

In total, there are 5 factors of 5 in the range from 5 to 25.

Therefore, the product of all natural numbers from 5 to 25 will have 5 zeros at the end.

Answer: There are 5 zeros at the end of the product of all natural numbers from 5 to 25.