Survivalist Pro
Photo by Pixabay Pexels Logo Photo: Pixabay

What is Rule number 7?

What is the Divisibility Rule of 7? The divisibility rule of 7 states that, if a number is divisible by 7, then “the difference between twice the unit digit of the given number and the remaining part of the given number should be a multiple of 7 or it should be equal to 0”. For example, 798 is divisible by 7.

byjus.com - Divisibility Rule of 7 (Rules and Examples) | Divisibility Test for 7
What is the rarest console?
What is the rarest console?

Top Six Rarest Consoles RDI Halcyon. In the mid-1980s, Laserdiscs were considered the next big thing in home entertainment. ... Dreamcast Limited...

Read More »
Last updated Apr 19, 2018
Is it hard living off the grid?
Is it hard living off the grid?

There's no doubt about it, living off the grid is tough. Most of your day-to-day time is spent learning how to survive on your own without the...

Read More »
Last updated Sep 25, 2021

Divisibility Rule of 7

In Mathematics, the divisibility rule or divisibility test is a method to determine whether the given number is divisible by a fixed divisor, without performing the division operation. This method generally uses the digits to find the given number is divided by a divisor. We can say, if a number is perfectly divisible by the other number, the remainder should be zero, and the quotient should be a whole number. We have divisibility rules for 1, 2, 3, 4, 5, 6, 7,8, 9, 10, 11, 12, 13, and so on. In this article, we are going to discuss the “Divisibility Rule of 7” with many solved examples.

Table of Contents:

What is the Divisibility Rule of 7?

The divisibility rule of 7 states that, if a number is divisible by 7, then “the difference between twice the unit digit of the given number and the remaining part of the given number should be a multiple of 7 or it should be equal to 0”.

For example, 798 is divisible by 7.

Explanation:

The unit digit of 798 is 8.

If the unit digit is doubled, we get 16 (i.e., 8 x 2 = 16)

The remaining part of the given number is 79.

Now, take the difference between 79 and 16.

= 79-16

=63

Here, the difference value obtained is 63, which is a multiple of 7. (i.e., 9 x 7 = 63)

Thus, the given number 798 is divisible by 7.

Also, read: Divisibility Rules for 13.

Divisibility Rule of 7 Examples

The following solved examples help you to understand the divisibility rule of 7.

Example 1:

Which of the following numbers is divisible by 7?

171 119 107 383

Solution:

A correct answer is option (b) 119

Explanation:

(a) 171

Step 1: Double the unit digit = 1 x 2 = 2

Step 2: Difference = 17 – 2 = 15

15 is not a multiple of 7, and hence 171 is not divisible by 7.

(b) 119

Step 1: Double the unit digit = 9 x 2 = 18

Step 2: Difference = 11 – 18 = -7, which is a multiple of 7

Hence, 119 is divisible by 7.

(c) 107

Step 1: Double the unit digit = 7 x 2 = 14

Step 2: Difference = 10 – 14 = -4, which is not a multiple of 7.

Hence, 107 is not divisible by 7.

(d) 383

Step 1: Double the unit digit = 3 x 2 = 6

Step 2: Difference = 38 – 6 = 32, which is not a multiple of 7.

Thus, 383 is not divisible by 7.

Example 2:

Check whether a number 449 is divisible by 7.

Solution:

Given number = 449.

To check whether a number 449 is divisible by 7, follow the below steps.

Step 1: Double the unit digit = 9 x 2 = 18

Step 2: Take the difference between the remaining part of the given number and the result obtained from step 1. (i.e., 18)

= 44 – 18

= 26, which is not a multiple of 7.

Hence, the given number 449 is not divisible by 7.

Practice Problems

Check the following numbers are divisible by 7, using the divisibility rule of 7.

595 133 233 305 672

How to lose 15 pounds in a week?
How to lose 15 pounds in a week?

Here are the 8 tips on how to lose 15 pounds in a week: Eliminate Unhealthy Carbs. To achieve rapid weight loss, you'll have to alter your diet....

Read More »
Last updated May 24, 2021
What is the coolest Base in Minecraft?
What is the coolest Base in Minecraft?

15 Best Minecraft Base Ideas Ultimate Survival Base. First up is the so-called “Ultimate Survival Base” by disruptive builds. ... Large Underground...

Read More »
Last updated Sep 2, 2018

What is Rule 42?

If the criminal contempt involves disrespect toward or criticism of a judge, that judge is disqualified from presiding at the contempt trial or hearing unless the defendant consents. Upon a finding or verdict of guilty, the court must impose the punishment.

federalrulesofcriminalprocedure.org - Rule 42. Criminal Contempt - 2021 Federal Rules of Criminal Procedure

(a) Disposition After Notice. Any person who commits criminal contempt may be punished for that contempt after prosecution on notice. (1) Notice. The court must give the person notice in open court, in an order to show cause, or in an arrest order. The notice must:

(A) state the time and place of the trial;

(B) allow the defendant a reasonable time to prepare a defense; and

(C) state the essential facts constituting the charged criminal contempt and describe it as such. (2) Appointing a Prosecutor. The court must request that the contempt be prosecuted by an attorney for the government, unless the interest of justice requires the appointment of another attorney. If the government declines the request, the court must appoint another attorney to prosecute the contempt. (3) Trial and Disposition. A person being prosecuted for criminal contempt is entitled to a jury trial in any case in which federal law so provides and must be released or detained as Rule 46 provides. If the criminal contempt involves disrespect toward or criticism of a judge, that judge is disqualified from presiding at the contempt trial or hearing unless the defendant consents. Upon a finding or verdict of guilty, the court must impose the punishment. (b) Summary Disposition. Notwithstanding any other provision of these rules, the court (other than a magistrate judge) may summarily punish a person who commits criminal contempt in its presence if the judge saw or heard the contemptuous conduct and so certifies; a magistrate judge may summarily punish a person as provided in 28 U.S.C. §636(e). The contempt order must recite the facts, be signed by the judge, and be filed with the clerk.

What is mag in the army?
What is mag in the army?

The weapon's name is an abbreviation for Mitrailleuse d'Appui Général, meaning "general support machine gun". The MAG is available in three primary...

Read More »
Last updated Feb 3, 2022
How much does an abandoned island cost?
How much does an abandoned island cost?

Prices can range from approximately US $500,000 for a 0.5 to 1 acre undeveloped private island up to US $10 to $12 million for larger 60 to 70 acre...

Read More »
Last updated Feb 5, 2019
What do men need emotionally?
What do men need emotionally?

Men Need Love and Affection Whereas women often need to feel emotionally connected as a prelude to sexuality, men often need to feel sexually...

Read More »
Last updated Aug 18, 2022
What canned foods to stockpile?
What canned foods to stockpile?

These are the healthy pantry items you'll want to have on hand Canned tuna and salmon. These are great sources of protein. ... Canned sardines. ......

Read More »
Last updated Jul 12, 2018