Divisibility Rule of 310

The divisibility rule for 310 is a method by which we can determine if a number is divisible by 310 without using the division method. Check whether 620 is divisible by 310 with the divisibility rule.

Step 1: A number is divisible by 310 if it is divisible by 2, 5, and 31 since 310 = 2 × 5 × 31. First, we check if 620 is even. Since the last digit is 0, it is divisible by 2.

Step 2: Check if the number ends in 0 or 5 to determine divisibility by 5. Since 620 ends in 0, it is divisible by 5.

Step 3: For divisibility by 31, divide the entire number by 31. 620 ÷ 31 = 20, which is an integer.

Since 620 meets all these conditions, it is divisible by 310.

Understanding the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 310.

Know the prime factors:

Memorize that 310 is composed of the prime factors 2, 5, and 31. A number must be divisible by all three to be divisible by 310.

Check divisibility by smaller factors:

First, verify divisibility by 2 and 5, which are simpler checks. If it passes those, proceed to check divisibility by 31.

Use the division method to verify:

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

• Divisibility rule: The set of rules used to determine whether a number is divisible by another number. For example, a number is divisible by 2 if it ends in an even number.

• Prime factors: The prime numbers that multiply together to give a number. For 310, these are 2, 5, and 31.

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

• Multiple: The result of multiplying a number by an integer. For example, multiples of 310 are 310, 620, 930, etc.

• Remainder: The amount left over after division when a number is not perfectly divisible by another.