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Which of the following would always divide a six-digit number of the form ababab?
- a)10,101
- b)11,111
- c)10,001
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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Which of the following would always divide a six-digit number of the f...
Solution:
The six-digit number of the form ababab can be written as:
ababab = 1001 × ab
Therefore, to find the number that always divides ababab, we need to find the factors of 1001.
Prime factorization of 1001:
1001 = 7 × 11 × 13
Factors of 1001:
1, 7, 11, 13, 77, 91, 143, 1001
Out of these factors, only 10 and 101 are two-digit numbers. Therefore, the only option that could divide a six-digit number of the form ababab is 10,101.
Hence, the correct answer is option A.
The six-digit number of the form ababab can be written as:
ababab = 1001 × ab
Therefore, to find the number that always divides ababab, we need to find the factors of 1001.
Prime factorization of 1001:
1001 = 7 × 11 × 13
Factors of 1001:
1, 7, 11, 13, 77, 91, 143, 1001
Out of these factors, only 10 and 101 are two-digit numbers. Therefore, the only option that could divide a six-digit number of the form ababab is 10,101.
Hence, the correct answer is option A.
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Community Answer
Which of the following would always divide a six-digit number of the f...
Number = ababab
=ab×10000+ab×100+ab
=ab(10000+100+1)
=ab(10101)
=ab×10000+ab×100+ab
=ab(10000+100+1)
=ab(10101)
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Which of the following would always divide a six-digit number of the form ababab?a)10,101b)11,111c)10,001d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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