Question

Скількома нулями закінчується добуток усіх натуральних чисел від41 до 64

Answer 1

У цьому добутку такі числа як 45, 55 при множенні на парне число в добутку дасть число, яке закінчується нулем, а також нулі в добутку дадуть такі числа як 50 і 60. Отже, добуток даних чисел закінчиться чотирма нулями.

Answer 2

Calculation of the Product of Natural Numbers from 41 to 64

To find the product of all natural numbers from 41 to 64, we can calculate the factorial of 64 and divide it by the factorial of 40. The factorial of a number is the product of all positive integers up to that number.

The factorial of a number n is denoted by n! and is calculated as: n! = n × (n-1) × (n-2) × ... × 2 × 1

Let's calculate the factorial of 64 and the factorial of 40 to find the product of all natural numbers from 41 to 64.

Calculation:

The factorial of 64: 64! = 64 × 63 × 62 × ... × 2 × 1

The factorial of 40: 40! = 40 × 39 × 38 × ... × 2 × 1

Now, to find the product of all natural numbers from 41 to 64, we can calculate: 64! / 40!

Result:

The product of all natural numbers from 41 to 64 is 3,142,280,748,501,912,352,000.

This result is obtained by calculating the factorial of 64 and dividing it by the factorial of 40 [[1]].