Divisibility Rule of 672
2026-02-28 01:04 Diff
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Last updated on August 5, 2025

The divisibility rule is a way to determine whether a number is divisible by another number without using the division method. In real life, we can use divisibility rules for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 672.

What is the Divisibility Rule of 672?

The divisibility rule for 672 is a method by which we can find out if a number is divisible by 672 or not without using the division method.

Let's check whether 1344 is divisible by 672 using the divisibility rule.

Step 1: Check if the number is divisible by 2, 3, and 7 (since 672 = 2^5 × 3 × 7).

For divisibility by 2: The number must be even. 1344 is even, so it passes this check.

For divisibility by 3: Sum the digits of the number; if the sum is divisible by 3, so is the number. 1 + 3 + 4 + 4 = 12, which is divisible by 3.

For divisibility by 7: Take the last digit, double it, and subtract from the rest of the number. 134 - 8 = 126; since 126 is divisible by 7, so is 1344.

Step 2: Since 1344 is divisible by 2, 3, and 7, it is divisible by 672.

Tips and Tricks for Divisibility Rule of 672

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 672.

  • Know the multiples of 672: Memorize the multiples of 672 (672, 1344, 2016, etc.) to quickly check divisibility. If a number is a multiple of 672, then it is divisible by 672.
  • Combine divisibility rules: To check divisibility by 672, verify divisibility by 2, 3, and 7. If a number passes all these checks, it is divisible by 672.
  • Repeat the divisibility checks for large numbers: For large numbers, verify divisibility by 2, 3, and 7 repeatedly until a conclusion is reached.
  • Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This helps reinforce understanding.

Common Mistakes and How to Avoid Them in Divisibility Rule of 672

The divisibility rule of 672 helps us quickly check if the given number is divisible by 672, 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 1344 divisible by 672?

Okay, lets begin

Yes, 1344 is divisible by 672.

Explanation

To determine if 1344 is divisible by 672, we can use division directly because 672 is a larger divisor.

1) Divide 1344 by 672, which results in exactly 2, with no remainder.

2) Since the division results in a whole number, 1344 is divisible by 672.

Well explained 👍

Problem 2

Can 2016 be divided evenly by 672?

Okay, lets begin

Yes, 2016 is divisible by 672.

Explanation

To check the divisibility of 2016 by 672,

1) Divide 2016 by 672, resulting in exactly 3, with no remainder.

2) As the division results in a whole number, 2016 is divisible by 672.

Well explained 👍

Problem 3

Is 4032 divisible by 672?

Okay, lets begin

Yes, 4032 is divisible by 672.

Explanation

For checking the divisibility of 4032 by 672,

1) Divide 4032 by 672, which results in 6, with no remainder.

2) Since the result is a whole number, 4032 is divisible by 672.

Well explained 👍

Problem 4

Determine if 5000 is divisible by 672.

Okay, lets begin

No, 5000 is not divisible by 672.

Explanation

To determine divisibility,

1) Divide 5000 by 672, resulting in approximately 7.44047619, which is not an integer.

2) Since the division does not result in a whole number, 5000 is not divisible by 672.

Well explained 👍

Problem 5

Check the divisibility of 6720 by 672.

Okay, lets begin

Yes, 6720 is divisible by 672.

Explanation

To check the divisibility of 6720 by 672,

1) Divide 6720 by 672, resulting in exactly 10, with no remainder.

2) Since the division results in a whole number, 6720 is divisible by 672.

Well explained 👍

FAQs on Divisibility Rule of 672

1.What is the divisibility rule for 672?

The divisibility rule for 672 involves checking if a number is divisible by 2, 3, and 7. If it is divisible by all three, it is divisible by 672.

2.How many numbers are there between 1 and 5000 that are divisible by 672?

Divide 5000 by 672 to find the largest multiple. There are 7 numbers: 672, 1344, 2016, 2688, 3360, 4032, and 4704.

3.Is 2016 divisible by 672?

Yes, 2016 is divisible by 672 (2016 ÷ 672 = 3).

4.What if I get 0 after a divisibility check for 7?

If you get 0 after applying the divisibility rule for 7, the number is divisible by 7.

5.Does the divisibility rule of 672 apply to all integers?

Yes, the divisibility rule of 672 applies to all integers.

Important Glossaries for Divisibility Rule of 672

  • Divisibility Rule: A set of guidelines used to determine if one number is divisible by another without performing division.
  • Multiple: A number that can be divided by another number without leaving a remainder. For example, multiples of 672 include 672, 1344, etc.
  • Integer: A whole number that can be positive, negative, or zero.
  • Sum of Digits: The total obtained by adding all the digits of a number.
  • Even Number: A number divisible by 2 without a remainder.

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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.