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When a number is divided by 837 the remainder is 643 what will be the remainder if the same number is divided by 31?
Wiki User
∙ 10y ago
23.
If the remainder when a number n is divided by m is r, then it is written as n ≡ r MOD m (read as "n is equivalent to r modulo m") and n = mk + r for some integer k.
if n ≡ 643 MOD 837, then n = 837k + 643 (for some k)
When n is divided by 31:
n ÷ 31 = (837k + 643) ÷ 31
= 837k ÷ 31 + 643 ÷ 31
= 27k + 20 + 23/31
Multiplying both sides by 31:
→ n = 31 x (27k + 20) + 31 x 23/31
= 31m + 23 (where m = 27k + 20)
→ n ≡ 23 MOD 31
Thus the remainder when the same number is divided by 31 is 23.
Wiki User
∙ 10y ago
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What is 643 divided by 3?
214.3333
Is 643 divisible by 6?
No: 643 divided by 6 is 107 with remainder one.
What is the remainder of 643 divided by 24?
26.7917
What 643 divided by 16?
40.1875
What is 30864 divided by 48?
643
What is 643 divided by 0.1?
6430
How many times does 80 go into 643?
8 times with a remainder of 3
How many times does 35 go into 643?
643 ÷ 35 = ~18.37 or 18 times with a remainder of 13.
On mathematics What is the answer to 642-643?
1285
How many 6 go into 643?
107, with remainder 1.
What is the percentage of 643 divide by 2?
643 divided by 2 is 321.5, which is 32150%
How many times does 8 fit into 643?
80 times (with a remainder).
