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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?
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.
What else can I help you with?
What 643 divided by 16?
40.1875
What is the remainder of 643 divided by 24?
26.7917
How many times does 5 go into 3215?
To find out how many times 5 goes into 3215, you would perform division. 3215 divided by 5 equals 643 with a remainder of 0. Therefore, 5 goes into 3215 exactly 643 times.
What is 643 divided by 0.1?
6430
How many 6 go into 643?
107, with remainder 1.
What 643 divided by 16?
40.1875
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 is 643 divided 2?
321.5
How many times does 5 go into 3215?
To find out how many times 5 goes into 3215, you would perform division. 3215 divided by 5 equals 643 with a remainder of 0. Therefore, 5 goes into 3215 exactly 643 times.
How many times does 80 go into 643?
8 times with a remainder of 3
What is 643 divided by 0.1?
6430
What is 30864 divided by 48?
643
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
What is the percentage of 643 divide by 2?
643 divided by 2 is 321.5, which is 32150%
