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What is the remainder when 333222 is divided by 7?
- a)3
- b)2
- c)5
- d)7
- e)1
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
What is the remainder when 333222 is divided by 7?a)3b)2c)5d)7e)1Corre...
333222 = (329+4)222 = (7∗47+4)222. Now if we expand this, all terms but the last one will have 7*47 as a multiple and thus will be divisible by 7. The last term will be 4222 = 2444. So we should find the remainder when 2444 is divided by 7.
21 divided by 7 yields remainder of 2;
22 divided by 7 yields remainder of 4;
23 divided by 7 yields remainder of 1;
24 divided by 7 yields remainder of 2;
25 divided by 7 yields remainder of 4;
26 divided by 7 yields remainder of 1;
...
21 divided by 7 yields remainder of 2;
22 divided by 7 yields remainder of 4;
23 divided by 7 yields remainder of 1;
24 divided by 7 yields remainder of 2;
25 divided by 7 yields remainder of 4;
26 divided by 7 yields remainder of 1;
...
The remainder repeats in blocks of three: {2-4-1}. So, the remainder of 2444 divided by 7 would be the same as 23 divided by 7 (444 is a multiple of 3). 2323 divided by 7 yields remainder of 1.
Most Upvoted Answer
What is the remainder when 333222 is divided by 7?a)3b)2c)5d)7e)1Corre...
Remainder when 333222 is divided by 7:
The remainder when a number is divided by another number is the number that is left over after the division process is complete.
Dividing 333222 by 7:
To find the remainder when 333222 is divided by 7, we can perform the division operation:
333222 ÷ 7 = 47603 with a remainder of 1.
Explanation:
- When 333222 is divided by 7, the quotient is 47603.
- The remainder is the amount left over after dividing 333222 by 7, which is 1.
Therefore, the correct answer is option 'E' - 1.
The remainder when a number is divided by another number is the number that is left over after the division process is complete.
Dividing 333222 by 7:
To find the remainder when 333222 is divided by 7, we can perform the division operation:
333222 ÷ 7 = 47603 with a remainder of 1.
Explanation:
- When 333222 is divided by 7, the quotient is 47603.
- The remainder is the amount left over after dividing 333222 by 7, which is 1.
Therefore, the correct answer is option 'E' - 1.
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Community Answer
What is the remainder when 333222 is divided by 7?a)3b)2c)5d)7e)1Corre...
333222 = (329+4)222 = (7∗47+4)222. Now if we expand this, all terms but the last one will have 7*47 as a multiple and thus will be divisible by 7. The last term will be 4222 = 2444. So we should find the remainder when 2444 is divided by 7.
21 divided by 7 yields remainder of 2;
22 divided by 7 yields remainder of 4;
23 divided by 7 yields remainder of 1;
24 divided by 7 yields remainder of 2;
25 divided by 7 yields remainder of 4;
26 divided by 7 yields remainder of 1;
...
21 divided by 7 yields remainder of 2;
22 divided by 7 yields remainder of 4;
23 divided by 7 yields remainder of 1;
24 divided by 7 yields remainder of 2;
25 divided by 7 yields remainder of 4;
26 divided by 7 yields remainder of 1;
...
The remainder repeats in blocks of three: {2-4-1}. So, the remainder of 2444 divided by 7 would be the same as 23 divided by 7 (444 is a multiple of 3). 2323 divided by 7 yields remainder of 1.
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