Divisibility Rule of 628

The divisibility rule for 628 is a method by which we can find out if a number is divisible by 628 or not without using the division method. Check whether 1256 is divisible by 628 with the divisibility rule.

Step 1: Check if the number is divisible by 2, 4, and 157 (factors of 628). First, check divisibility by 2. The number 1256 ends in 6, so it is divisible by 2.

Step 2: Check divisibility by 4. The last two digits of 1256 are 56, which is divisible by 4.

Step 3: Check divisibility by 157. Divide 1256 by 157. Since 1256 ÷ 157 is an integer (8), it is divisible by 157.

Since 1256 is divisible by 2, 4, and 157, it is divisible by 628.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 628.

Know the factors of 628:

Memorize that 628 = 2 × 2 × 157 to quickly check divisibility by each factor.

Use divisibility rules for smaller factors:

Start by checking divisibility by 2 and 4, which have simple rules.

Repeat the process for large numbers:

Students should keep repeating the divisibility process for each factor until they confirm divisibility by all.

Use the division method to verify:

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

• Divisibility rule: The set of rules used to determine whether a number is divisible by another number without performing division.

• Factors: Numbers that multiply together to give another number. For example, 2, 4, and 157 are factors of 628.

• Multiple: A number that can be divided by another number without a remainder. For example, 1256 is a multiple of 628.

• Verification: The process of confirming if a number is divisible by another through calculation.

• Integer: A whole number that can be positive, negative, or zero.