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# Details for problem "Divisibility rules to be specified and applied"

Quickname: 8903

Elementary School, Primary School, Junior High School, Middle School.

## Summary

The rules on divisibility have to be specified and applied.

## Description

The divisibility rules are to be applied on the basis of problems presented. Either the correct divisibility statement can be presented, and only the rule has to be mentioned, or the question of divisibility can be asked, with the request to justify the answer to be given with the correct divisibility rule. This is adjustable.

The following divisibility rules can be queried:

- Divisibility by 2, 4, 8 (last digit even, or last two or three digits divisible by 4 or eight)

- Divisibility by 5, 25, 125 (last digit zero or five, last two digits divisible by 25, last three digits divisible by 125)

- Divisibility by 10, 10, 1000 (last digit zero, last two digits zero, last of the digits zero)

- Divisibility by 3, 9 (cross sum divisible by 3 or nine)

- Divisibility by 20, 40, 50 (last digit zero and penultimate digit even, last digit zero and penultimate and third last divisible by four, last digits 00 or 50)

The number of problems is also adjustable.

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## Customization options for this problem

Parameter
Possible values
Number of problems
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Mention divisibility
Yes, No
Powers of two
no, by 2, by 2, by 4, by 2, 4, 8
Powers of five
no, by 5, by 5, by 25, by 5, 25, 125
Powers of ten
no, by 10, by 10, by 100, by 10,100,1000
20,40,50
no, by 20, by 20, by 40, by 20,40,50
3,9
no, by 3, by 3, by 9

## Similar problems

Remark
Description
Similar problem, without mentioning the rules
Determine whether a number is a factor or multiple of another.
Is available also without application of the rules
A row of numbers is presented. Delete those that are not divisible by a given divisor.

## Other types of problems that appear on worksheets with this problem:

Relevance
Name
Description
Quickname
Example
****
Factor or multiple?
Determine whether a number is a factor or multiple of another.
****
Test for divisibility
A row of numbers is presented. Delete those that are not divisible by a given divisor.

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