Divisibility Rule of 245

The divisibility rule for 245 is a method by which we can find out if a number is divisible by 245 or not without using the division method. Check whether 1715 is divisible by 245 with the divisibility rule.

Step 1: Check if the number is divisible by 5. Since 1715 ends in 5, it is divisible by 5.

Step 2: Check if the number is divisible by 7. Follow the divisibility rule for 7. Multiply the last digit by 2, here 5×2=10. Subtract this from the rest of the number: 171−10=161. Repeat the process: 1×2=2, and 16−2=14. Since 14 is a multiple of 7, the number is divisible by 7.

Step 3: Check if the number is divisible by 7 and 5, then it must also be divisible by 49 (since 245=5×49). Use the divisibility rule for 49: Keep subtracting 49 until you reach 0 or a negative number. 1715−49×35=0, so it is divisible by 49.

Since 1715 is divisible by 5, 7, and 49, it is divisible by 245.
 

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 245.

Know the multiples of 245:

Memorize the multiples of 245 (245, 490, 735, 980, etc.) to quickly check divisibility. If the number is a multiple of 245, then it is divisible by 245

Use the divisibility rules for 5, 7, and 49:

Since 245=5×49, make sure the number is divisible by 5 and 49. This can simplify the process.

Repeat the process for large numbers:

Students should keep repeating the divisibility process until they confirm divisibility for each factor (5, 7, and 49).

Use the division method to verify:

Students can use the division method to verify and cross-check their results. This will help them to verify and also learn.
 

• Divisibility rule: A set of guidelines to determine if a number is divisible by another number without performing division.

• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 245 are 245, 490, 735, etc.

• Factors: Numbers you multiply together to get another number. For 245, the factors are 5, 7, and 49.

• Subtraction: The process of finding the difference between two numbers.

• Integer: Whole numbers, including positive, negative numbers, and zero.