Divisibility Rule of 407

The divisibility rule for 407 is a method by which we can find out if a number is divisible by 407 or not without using the division method. Let's check whether 4070 is divisible by 407 using this rule.

Step 1: Check the last three digits of the number, which are 070 in 4070.

Step 2: If the number formed by the last three digits is 000 or a multiple of 407, then the entire number is divisible by 407. In this case, 070 is not a multiple of 407.

Step 3: Since 070 is not a multiple of 407, 4070 is not divisible by 407.

Learning the divisibility rule will help kids master division. Let’s look at a few tips and tricks for the divisibility rule of 407.

Know the multiples of 407: Memorize the multiples of 407 (407, 814, 1221, 1628, etc.) to quickly check divisibility. If the last three digits form a multiple of 407, the entire number is divisible by 407.

  
Use the division method to verify: Students can use the division method to verify and crosscheck their results. This will help them confirm their findings and also learn.
 

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

• Multiples: Numbers that result from multiplying a given number by an integer. For example, multiples of 407 are 407, 814, 1221, etc.

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

• Division: The process of dividing one number by another to find out how many times the second number is contained within the first.

•  Digits: The individual numbers that make up a larger number, such as the hundreds, tens, and units places in a number.