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.

Learn how to determine if 19,379,088 is divisible by 11 using the divisibility rule. Step-by-step explanation with calculations of odd and even position sums. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation