Divisibility Rule of 710

The divisibility rule for 710 is a method by which we can determine if a number is divisible by 710 without using the division method. Let's check whether 4260 is divisible by 710 using the divisibility rule.

Step 1: Check if the number is divisible by both 71 and 10. Since 710 is the product of 71 and 10, a number is divisible by 710 if it meets the criteria for both.

Step 2: To check divisibility by 71, use a variation of the rule for 7. For simplicity, let's say the rule involves subtracting twice the last digit from the rest of the number. In 4260, the last digit is 0, so the rule simplifies as 426 - (0 × 2) = 426. Since checking divisibility by 71 is complex, using a calculator or known divisibility method is preferred.

Step 3: For divisibility by 10, the number must end in 0. Since 4260 ends in 0, it meets this criterion.

Since 4260 is divisible by 71 and 10, it is divisible by 710.

Know the multiples of 710: Memorize the multiples of 710 (710, 1420, 2130, etc.) to quickly check divisibility. If the number is a multiple of 710, it is divisible by 710.

Use divisibility tests for 71 and 10:

For smaller calculations, ensure the number meets divisibility for both 71 and 10.

Repeat the process for large numbers:

If the number is large, break it down and repeatedly check divisibility until you get a manageable number.

Use the division method to verify:

Use long division to verify your result for accuracy.

• Divisibility Rule: The set of rules used to determine whether a number is divisible by another number.

• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 710 are 710, 1420, 2130, etc.

• Integer: Numbers that include all whole numbers, negative numbers, and zero.

• Product: The result of multiplying two numbers together. For example, 710 is the product of 71 and 10.

• Subtraction: The process of finding the difference between two numbers by reducing one from another.