Divisibility Rule of 62
2026-02-28 10:07 Diff
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Last updated on August 5, 2025

The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 62.

What is the Divisibility Rule of 62?

The divisibility rule for 62 is a method by which we can find out if a number is divisible by 62 or not without using the division method. Check whether 620 is divisible by 62 with this rule.

Step 1: Check if the number is divisible by 2. Since the number 620 ends in a 0, it is divisible by 2.

Step 2: Check if the number is divisible by 31. Divide the number by 31: 620 ÷ 31 = 20. Since it divides evenly, 620 is divisible by 31.

Step 3: Since 620 is divisible by both 2 and 31, it is divisible by 62 (as 62 = 2 × 31).

Tips and Tricks for Divisibility Rule of 62

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 62.

Know the multiples of 62:

Memorize the multiples of 62 (62, 124, 186, 248, etc.) to quickly check divisibility. If the number is one of these multiples, it is divisible by 62.

Use the factorization:

Remember that 62 is the product of 2 and 31, so check divisibility by these numbers.

Repeat the process for large numbers:

Students should keep repeating the divisibility process for both factors (2 and 31) until they reach a small number that is clearly divisible by both.

Use the division method to verify:

Students can use the division method as a way to verify and cross-check their results. This helps them verify and also learn.

Common Mistakes and How to Avoid Them in Divisibility Rule of 62

The divisibility rule of 62 helps us quickly check if a given number is divisible by 62, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.

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Problem 1

Is 496 divisible by 62?

Okay, lets begin

Yes, 496 is divisible by 62.

Explanation

To check if 496 is divisible by 62, follow these steps:  


1) Break down the number into its tens and units: 49 and 6.  


2) Multiply the last digit by 6: 6 × 6 = 36.  


3) Add the result to the remaining digits: 49 + 36 = 85.  


4) Check if 85 is a multiple of 62. Yes, 496 is divisible by 62 (62 × 8 = 496).

Well explained 👍

Problem 2

Check the divisibility rule of 62 for 124.

Okay, lets begin

No, 124 is not divisible by 62.

Explanation

Follow these steps to check divisibility:  


1) Break down the number into its tens and units: 12 and 4.  


2) Multiply the last digit by 6: 4 × 6 = 24.  


3) Add the result to the remaining digits: 12 + 24 = 36.  


4) Check if 36 is a multiple of 62. No, 36 is not a multiple of 62.

Well explained 👍

Problem 3

Is -186 divisible by 62?

Okay, lets begin

Yes, -186 is divisible by 62.  
 

Explanation

To check if -186 is divisible by 62, follow these steps:

 
1) Ignore the negative sign and break down the number into its tens and units: 18 and 6.  


2) Multiply the last digit by 6: 6 × 6 = 36.  


3) Add the result to the remaining digits: 18 + 36 = 54.  


4) Check if 54 is a multiple of 62. Yes, -186 is divisible by 62 (62 × -3 = -186).

Well explained 👍

Problem 4

Can 248 be divisible by 62 following the divisibility rule?

Okay, lets begin

Yes, 248 is divisible by 62.  
 

Explanation

To verify, follow the steps:  


1) Break down the number into its tens and units: 24 and 8.  


2) Multiply the last digit by 6: 8 × 6 = 48.  


3) Add the result to the remaining digits: 24 + 48 = 72.  


4) Check if 72 is a multiple of 62. Yes, 248 is divisible by 62 (62 × 4 = 248).

Well explained 👍

Problem 5

Check the divisibility rule of 62 for 372.

Okay, lets begin

No, 372 is not divisible by 62.  
 

Explanation

Follow the steps below:  


1) Break down the number into its tens and units: 37 and 2.  


2) Multiply the last digit by 6: 2 × 6 = 12.  


3) Add the result to the remaining digits: 37 + 12 = 49.  


4) Check if 49 is a multiple of 62. No, 49 is not a multiple of 62.

Well explained 👍

FAQs on Divisibility Rule of 62

1.What is the divisibility rule for 62?

The divisibility rule for 62 involves checking if the number is divisible by both 2 and 31, as 62 = 2 × 31.
 

2.How many numbers are there between 1 and 1000 that are divisible by 62?

There are 16 numbers between 1 and 1000 that can be divided by 62. They are 62, 124, 186, 248, 310, 372, 434, 496, 558, 620, 682, 744, 806, 868, 930, and 992.
 

3.Is 124 divisible by 62?

Yes, because 124 is a multiple of 62 (62 × 2 = 124).
 

4.What if I get 0 after dividing by 31?

If you get 0 after dividing by 31, it is considered that the number is divisible by 31, and if it is also even, it is divisible by 62.

5.Does the divisibility rule of 62 apply to all integers?

Yes, the divisibility rule of 62 applies to all integers.

Important Glossary for Divisibility Rule of 62

  • Divisibility rule: A set of rules used to determine whether a number is divisible by another number without performing division.
  • Factors: Numbers that multiply together to form another number. For example, 2 and 31 are factors of 62.
  • Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 62 are 62, 124, 186, etc.
  • Even numbers: Numbers divisible by 2. These are essential for checking divisibility by 62.
  • Integer: A whole number, including positive, negative, and zero.

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

Fun Fact

: She loves to read number jokes and games.