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Number Theory Level 1

What is the remainder when 7357 is divide by 1337?


The answer is 672.

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Arron Kau by Arron Kau

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7 solutions

Pedro Junqueira
Dec 31, 2013

7357/1337 = 5,5026... >>>>> 1337 * 5 = 6685 >>>>> 7357 - 6685 = 672

3 Helpful 0 Interesting 0 Brilliant 0 Confused

why you multiplied 5 with 1337 ?? and then subtracted 7357 by 6685 ???

abhijeet pandey - 7 years, 5 months ago

LOL, divide and see, it's the best method and hardly takes a minute

0 Helpful 0 Interesting 0 Brilliant 0 Confused

1337*5=6685, 7357-6685=672

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Anzar Aznzar
Mar 30, 2014

7357/1337=5,50...

7357 - ( 1337*5) = 7357 - 6685 = 672

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Prateek Gaur
Dec 31, 2013

1337 multiplied by 5 gives us 6685. 7357 - 6685 = 672

0 Helpful 0 Interesting 0 Brilliant 0 Confused

when 7357 is divided by 1337 we get the remainder as 672, because 1337*5 is 6685 the lowest multiple to subtract with 7357. so when we subtract 7357 with 6685 e get the remainder as 672

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Sorry I don't know how to add another solution. But you can do. 7357/1337 = 5.50262. 0.50262 times 1337 = 672.00294. Round it off = 672.

Wayne Feng - 7 years, 5 months ago
Aashi Jain
Dec 31, 2013

1337*5=6685 so,7357/1337=5.5026..... OR 7357-1337=672

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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