Divisibility Rule of 526

The divisibility rule for 526 is a method by which we can find out if a number is divisible by 526 or not without using the division method. Check whether 5260 is divisible by 526 with the divisibility rule.

Step 1: Since 526 is a large number, we can consider breaking down the rule using its prime factors. The prime factors of 526 are 2, 263 (526 = 2 × 263).

Step 2: Check divisibility by 2. The last digit of 5260 is 0, which is even. Thus, it is divisible by 2.

Step 3: Check divisibility by 263. Since 263 is a prime number, the straightforward method is checking using the division method. Divide 2630 by 263 and see if it results in a whole number.

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 526.

Know the factors of 526:

Memorize the factors of 526, which are 2 and 263, to quickly check the divisibility. If the number is divisible by both factors, it is divisible by 526.

Use the breakdown method:

If a number is large, break it down by checking each factor separately. If divisible by all factors, it is divisible by the whole number.

Repeat the process for large numbers:

Students should keep repeating the divisibility process by using the breakdown method until they confirm the number is divisible by 526.
For example: Check if 10520 is divisible by 526 using the breakdown test. First, check divisibility by 2. The last digit is 0, so it is divisible by 2. Then, check 5260 by dividing it by 263 to see if it results in a whole number.

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: The set of rules used to find out whether a number is divisible by another number or not.

• Prime factors: The prime numbers that multiply together to get the original number. For example, the prime factors of 526 are 2 and 263.

• Factors: Numbers that divide the original number evenly without leaving a remainder.

• Division method: A mathematical operation to determine how many times one number is contained within another.

• Whole number: A number without fractions; an integer.