Divisibility Rule of 490

The divisibility rule for 490 is a method by which we can find out if a number is divisible by 490 without using the division method. Let's check whether 4900 is divisible by 490 with the divisibility rule.
 

Step 1: Check if the number is divisible by 2, 5, and 49. Since 490=2×5×49, a number must be divisible by each of these factors to be divisible by 490.
 

Step 2: For divisibility by 2, check if the last digit is even. Here, 4900 ends in 0, an even number.
 

Step 3: For divisibility by 5, check if the last digit is 0 or 5. Here, 4900 ends in 0.
 

Step 4: For divisibility by 49, check using the divisibility rule for 49. Take the last two digits, 00, and double it to get 0. Subtract this from the remaining number, 49–0=49. Since 49 is a multiple of 49, 4900 is divisible by 49.
 

Since 4900 is divisible by 2, 5, and 49, it is also divisible by 490.
 

Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 490.
 

• Know the factors of 490: Memorize that 490=2×5×49 to quickly check divisibility. If a number is divisible by each factor, it is divisible by 490.
   
• Repeat the process for large numbers: Students should repeat the divisibility process for each factor until they confirm the number is divisible by all factors.
   
• Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This will help them verify and also learn.
   

• Divisibility rule: A set of rules used to determine whether a number is divisible by another number without performing division.
   
• Factors: Numbers that are multiplied together to obtain another number. For 490, the factors are 2, 5, and 49.
   
• Multiples: The results obtained by multiplying a number by integers. For example, multiples of 490 are 490, 980, 1470, etc.
   
• Even number: A number divisible by 2. The last digit of an even number is 0, 2, 4, 6, or 8.
   
• Subtraction: A mathematical operation that represents the operation of removing objects from a collection.