Divisibility Rule of 350

The divisibility rule for 350 is a method by which we can determine if a number is divisible by 350 without performing division. To check whether a number, say 2450, is divisible by 350, we can use the following steps:

Step 1: Check if the number is divisible by 2, 5, and 7, as 350 = 2 × 5 × 7.

Step 2: For divisibility by 2, the last digit of the number should be even. In 2450, the last digit is 0, which is even.

Step 3: For divisibility by 5, the last digit should be 0 or 5. In 2450, the last digit is 0.

Step 4: For divisibility by 7, there are several methods, but one of the simplest is to divide the number by 7 directly or use a known divisibility rule for 7. For 2450, dividing by 7 gives a whole number (350).

Since 2450 is divisible by 2, 5, and 7, it is therefore divisible by 350.

Learning divisibility rules can help students master division. Let’s explore a few tips and tricks for the divisibility rule of 350.

Know the factors:

Recognize that 350 is the product of 2, 5, and 7. Check divisibility by each of these numbers to determine divisibility by 350.

Use known rules:

Familiarize yourself with the divisibility rules for 2, 5, and 7 individually to quickly evaluate divisibility by 350.

Check divisibility in parts:

If a number is large, break it down and check divisibility by each factor separately.

Memorize multiples:

Knowing multiples of 350, such as 350, 700, 1050, can help quickly identify divisible numbers.

Verify with division:

Use the division method to verify and confirm the results of the divisibility rule.