21 Answered Questions for the topic Divisibility

Divisibility Math Proofs Number Theory


Use congruences to prove that the divisibility test 5 works.

Divisibility rule for 5: Let a be any integer, 5 divides a if and only if the last digit of a is 0 or 5.
Divisibility Algebra 1


Divisibility, Maths Olympiad

A series of bus tickets are labelled using all the numbers from 00000 through 99999. A girl collected all the tickets whose numbers are divisible by 78 and a boy collected all the tickets whose... more


How do I solve this problem regarding parity from my Math Challenge class?

The remainder when the product 1492 x 1776 x 1812 x 1996 is divided by 5 is A. 0B. 1 C. 2 D. 3 E. 4*what's the shortcut to figuring out the answer for problems like this?*


How do I solve this problem regarding divisibility from my Math Challenge class?

What remainder does the number 123456789 leave after division by 8? Is there a trick to solving this?
Divisibility Math Division Number Theory


How do I solve this problem regarding divisibility from my Math Challenge class?            

What remainder does the number (-50) leave after division by 7? The answer is 6. Why?
Divisibility Calculus Vectors


What is vector division?

My question is: We have addition, subtraction and muliplication of vectors. Why cannot we define vector division? What is division of vectors?
Divisibility Algebra 2 Gre Gre Exam


Divisiblilty & Prime Problems [GRE]?

If j is divisible by 12 and 10, is j divisible by 24? Answer by either saying yes, no, or Can't be determined. First I found the prime factors of both numbers (10: 5 * 2 and 12 : 3*2*2). Then I... more


Divisibility Rules

It is less than 100,000. It is an even number. It is divisible by 2 3 and 6. None of the digits are less than 4. None of the digits are used more than once. The sum of the digits is 30. The digit... more


What is the sum of the composite positive integers less than 100 that are not divisible by 2, 3 or 5?

The answer is 217 but I don't know the solution 


Prove that the six-digit whole number abc,abc is divisible by 7?

I don't know how to prove this
Divisibility Word Problems


Question is in the desciptions

Jay has 9 cupboards with the numbers 1 to 9 written. He has to form 3 three-digit numbers which are divisible by 9 with these cardboards and arrange them in ascending order. In how many different... more


Why can x only be a number in "35n + 17"

r => row of chairs x => total amount of chairs   When you try to make 5 rows, there's 12 chairs left over. When you try to make 7 rows, there's 4 chairs too little.   And that... more
Divisibility Conbinatorics


among the numbers-0,1,2,3,4,5,6,7,8,9 how many teams can be made so that it contains four numbers and the sum of them are divisible by 3.

NOTE THAT,the sequence doesn't matter.such that (1,2,3,4) and (1,3,2,4) are same
Divisibility Factors And Multiples


one fork and five knives balance 4 spoons.also 3 knives balance 2 forks and 2 spoons.then how many forks balance 2 knives and 2 spoons

question is been relates to junior maths olympiad prectice test.for class 5



What is the least number that is divisible by 2, 3, 4, 5, 6, 8, 9 and 10?
Divisibility Factors


Prove Divisibility:

Prove that   (a + b + c)333 - a333 - b333 - c333    is divisible by   (a + b + c)3 - a3 - b3 - c3   How can I start this?    Thanks.

Properties of Divisibility

Let a, b, and c be integers with a≠0. Prove that if a|b and b|c then a|c.


How many numbers could it be?

I left my glasses at home so I couldn't quite see the number on the board. The first digit was a 7 and the last was a 4, but I couldn't make out the middle numbers. It was certainly a 4 digit... more


What is the largest positive six digit number using 1, 2,4,5,7,8 only once that is divisible by 11.

each digit can be used only once


Next year C will be half the age of G. G will be 6 years older than C next year. How old is G this year?

Next year Charlie will be half the age of Gwen. Gwen will be 6 years older than Charlie next year. How old is Gwen this year?


how much greater were his earnings with week than without?

Scott earned $35, $40, $40, $25, and $45 for 5 weeks of part-time work. During a school break, he worked-full-time for one week and earned $187. How much greater were his mean weekly earnings with... more

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