To determine if 19,379,088 is divisible by 11, we use the rule for divisibility by 11. The rule states that a number is divisible by 11 if the difference between the sum of the digits in the odd positions and the sum of the digits in the even positions is a multiple of 11 (including 0).

Let's apply this rule to 19,379,088:

1. Identify the digits in odd positions: $1, 3, 9, 8$
2. Identify the digits in even positions: $9, 7, 0, 8$

Calculate the sum of the digits in the odd positions: $1 + 3 + 9 + 8 = 21$

Calculate the sum of the digits in the even positions: $9 + 7 + 0 + 8 = 24$

Find the difference between these sums: $|21 - 24| = 3$

Since the difference (3) is not a multiple of 11, 19,379,088 is not divisible by 11.

Do you want details or have any questions?

Here are 5 numbered questions for you to ask:

1. How do you determine if a number is divisible by 7?
2. Can you explain the divisibility rule for 13?
3. What are the steps to check if a number is a prime?
4. How do you find the greatest common divisor (GCD) of two numbers?
5. What is the least common multiple (LCM) and how is it calculated?

Tip: Always check the divisibility rules for small prime numbers to simplify larger calculations.