Question

Сколькими нулями оканчивается произведение всех натуральных чисел от 18 до 45 включительно

Answer 1

18*.19*20 нулей 1 (20)
21*22*...*30 нулей 3 (24*25*30)
31*32*  .40 нулей 2 (32*35*40)
41*42*..*45 нулей 1 (42*45)
итого 7 нулей

Answer 2

Calculating the Product of Natural Numbers from 18 to 45

To find the number of zeros at the end of the product of all natural numbers from 18 to 45, we need to calculate the product and then count the number of trailing zeros.

The product of all natural numbers from 18 to 45 can be calculated using the formula: 18 × 19 × 20 × ... × 45

Let's calculate the product and then count the number of trailing zeros.

The product of all natural numbers from 18 to 45 is: 18 × 19 × 20 × 21 × 22 × 23 × 24 × 25 × 26 × 27 × 28 × 29 × 30 × 31 × 32 × 33 × 34 × 35 × 36 × 37 × 38 × 39 × 40 × 41 × 42 × 43 × 44 × 45

Now, let's count the number of trailing zeros in this product.

The number of trailing zeros in a number can be found by counting the number of factors of 5 in the product.

Counting Trailing Zeros

The number of trailing zeros in the product of all natural numbers from 18 to 45 can be found by counting the number of factors of 5 in the product.

The count of trailing zeros in the product is: 5

This means the product of all natural numbers from 18 to 45 ends with 5 trailing zeros.