Divisibility Rule of 715

The divisibility rule for 715 is a method by which we can find out if a number is divisible by 715 or not without using the division method. Check whether 5005 is divisible by 715 with the divisibility rule.

Step 1: Check if the number is divisible by both 5 and 11, because 715 = 5 × 11 × 13.

Step 2: The number 5005 ends in 5, so it is divisible by 5.

Step 3: To check for 11, alternate subtracting and adding the digits from left to right: 5 - 0 + 0 - 5 = 0. Since 0 is divisible by 11, 5005 is divisible by 11.

Step 4: Finally, check if the number is divisible by 13 by using the divisibility rule for 13, or directly divide. 5005 ÷ 13 = 385, which is an integer.

Step 5: Since 5005 is divisible by 5, 11, and 13, it is divisible by 715.

Learn divisibility rules to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 715.

Break down into factors:

Memorize the prime factors of 715 (5, 11, 13) to quickly check divisibility by each factor.

Use the divisibility rules for 5, 11, and 13:

For 5, a number must end in 0 or 5; for 11, alternate the sum and subtraction of digits; for 13, use the specific rule for 13 or directly divide.

Verify with division:

After using the divisibility rules, use division to verify and cross-check your results.

Practice with large numbers:

Practice the divisibility rules by breaking down larger numbers into smaller factors.

Consider negative values positively:

If negative results appear, consider them as positive for checking divisibility.

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

• Prime factors: The prime numbers that multiply together to give a product (e.g., 5, 11, and 13 for 715).

• Alternate subtraction and addition: A method used in the divisibility rule for 11.

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

• Verification: The process of confirming a result, such as using division to check divisibility.