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# How to find a remainder?

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Intern
Joined: 31 May 2010
Posts: 2

Kudos [?]: [0], given: 1

How to find a remainder? [#permalink]

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19 Jun 2010, 19:13
is there any easy method especially when dealing with big numbers?

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Ms. Big Fat Panda
Status: Three Down.
Joined: 09 Jun 2010
Posts: 1915

Kudos [?]: 2203 [1], given: 210

Concentration: General Management, Nonprofit
Re: How to find a remainder? [#permalink]

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20 Jun 2010, 22:23
1
KUDOS
There are specific rules to remember divisibility by numbers up to 10.

1: All numbers
2: Even numbers
3: Sum of digits = 3
4: Divisible by 2 twice/Last two digits divisible by 4
5: Last digit = 5 or 0
6: Divisible by 3 and 2
7: No divisibility rule
8: Divisible by 2 thrice/last three digits divisible by 8
9: Sum of digits = 9
10: Last digit = 0

Now for bigger numbers, what you basically need to do is assume they are divisible and check for consistency with constrains given in the problem.

For example if a question asks if a number x is divisible by 12 and gives you additional constraints say:

x = 12a

And then check against restrictions. But I'd say that beyond this the method would be case specific. Hope this helps!

Kudos [?]: 2203 [1], given: 210

Founder
Joined: 04 Dec 2002
Posts: 15571

Kudos [?]: 28477 [0], given: 5105

Location: United States (WA)
GMAT 1: 750 Q49 V42
Re: How to find a remainder? [#permalink]

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20 Jun 2010, 22:28
sriharshagaruda wrote:
is there any easy method especially when dealing with big numbers?

You have an example perhaps?
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Kudos [?]: 28477 [0], given: 5105

Re: How to find a remainder?   [#permalink] 20 Jun 2010, 22:28
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