Find that remainder!

Number Theory Level 1

What is the remainder when 4321 4321 is divided by 321 321 ?


The answer is 148.

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Arron Kau by Arron Kau

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14 solutions

Write 4321 as 4000 + 321; 4000 as 3210 + 790; 790 as 2(321) + 148;

Therefore, 4321/321 = 148.

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Moderator note:

Good approach of removing multiples of 321.

Note that the last line should be rephrased slightly.

4000 + 321 4000 as 3210 + 790 790 as 2(321) + 148 Therefore, 4321/321 = 148.

Ismi Mursyid - 7 years, 10 months ago

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i really didn't understand...how the answer came 148

Suha Ahmed - 7 years, 10 months ago

the remainder when 4321 is divided by 321

Write 4321 as 4000 + 321; 4000 as 3210 + 790; 790 as 2(321) + 148;

Therefore, 4321/321 = 148.

Challenge Master note: Good approach of removing multiples of 321.

Note that the last line should be rephrased slightly... I wanna fight. yess

Ismi Mursyid - 7 years, 10 months ago

can you please explain this? i didn't understand the steps

Tron Promy - 7 years, 10 months ago

pls can u explain this ?

Taira Kim Dollete - 7 years, 10 months ago

can u explain how??????

Harish Hunk - 7 years, 10 months ago

He just divided 4321 into small multiples of 321 ( 3210. 2(321) ) and what he was left with was 148 and thats the remainder

Rahul Kumar - 7 years, 10 months ago

can make me confused

Apnesia Feronika - 7 years, 10 months ago

Did you use the Euclidean Algorithm?

Abdur Rehman Zahid - 6 years, 7 months ago
Joshua Crouch
Jul 28, 2013

4321/321=13.4610592

321 * 13.4610592=148.00

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Moderator note:

I don't seem to understand what you are doing here. Also, how would you do the computations?

i dont understand how to compute this equation

Taira Kim Dollete - 7 years, 10 months ago

I WANT A FORMULA TO FIND THIS ANY ONE CAN HELP..............................

thirumeny santhoshsivan - 7 years, 10 months ago
Sifat Shishir
Sep 25, 2015

4321 - { floor ( 4321 / 321 ) X 321 } = 4321 - 13 X 321 = 4321 - 4173 = 148

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Kannan Ravinther
Aug 2, 2013

4321 can be divided by 321 with a remainder of 148. Here goes the working ,321 multiply 13 , you will get 4173. So,4321-4173 is 148 ,that's the remainder.

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Sushmita Nad
Jul 31, 2013

4321/321=13.46105

321*13=4173

4321-4173=148

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4321/321=13.46105

321*13=4173

4321-4173=148

Puneet Kumar Rajan - 7 years, 10 months ago

very gooooooooooooood

Mojtaba davi - 7 years, 10 months ago
Anubhav Mishra
Jul 30, 2013

4321=321*13+148

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Arinilhaq Nafisah
Jul 30, 2013

You have to divide the number by 321 to produce 4321 integers. And it can only be divided by 13, with the remaining 148.

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4321/321 =1+4000/321 =1+(321*10+790)/321 =11+790/321 =11+(642+148)/321 =11+2+148/321 so the remainder is 148

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Nael Cassio
Jul 29, 2013

4321 = 321 * 13 + 148

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Mojtaba Davi
Jul 29, 2013

4321=13*321+148

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[4321] / [321] = 13{QUOTIENT} & 148{REMAINDER}

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4321/321=13+138/321

138 is the remainder

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148 148 is the remainder

Ayon Pal - 7 years, 10 months ago

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sorry.. its just a typographical error..

Jeffer Dave Cagubcob - 7 years, 10 months ago
Victor Carnaúba
Jul 28, 2013

just divide 4321/321 then you reach the awnser

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4321/321 = 14 148/321

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