The divisibility rule for 290 is a method to determine if a number is divisible by 290 without using division. Check whether 2030 is divisible by 290 using the divisibility rule.

Step 1: Check if the number is divisible by both 2 and 145, as 290 is the product of these two numbers (2 x 145 = 290). 

Step 2: For divisibility by 2, the last digit should be even. In 2030, the last digit is 0, which is even.

Step 3: For divisibility by 145, use a combination of divisibility rules for 5 and 29. The number should end with 0 or 5 for divisibility by 5. For 2030, it ends with 0.

Step 4: Use the divisibility rule for 29. A practical approach is to divide by 29 directly or use known multiples. 2030 ÷ 29 equals approximately 70, which is an integer.

Since 2030 passes both criteria, it is divisible by 290.

Understanding the divisibility rule helps students master division. Here are a few tips and tricks for the divisibility rule of 290.

Know the multiples of 290:

Memorize multiples of 290 (290, 580, 870, etc.) to quickly check divisibility.

Use divisibility of factors:

Since 290 = 2 x 145, ensure a number is divisible by both 2 and 145 to confirm divisibility by 290.

Repeat the process for large numbers:

Continue checking divisibility by factors for larger numbers until you reach a small number divisible by 290.

Use the division method to verify:

Crosscheck results using the division method to ensure accuracy and understanding.
 

• Divisibility rule: The set of guidelines used to determine if a number can be divided by another number without a remainder.
   
• Multiples: The results obtained by multiplying a number by integers, such as multiples of 290.
   
• Factors: Numbers that multiply together to form another number. For example, 2 and 145 are factors of 290.
   
• Even number: A number divisible by 2, typically ending in 0, 2, 4, 6, or 8.
   
• Verification: The process of using division to confirm results obtained by divisibility rules.