Multiple choice

What remainders are obtained when the number consisting of 1001 sevens is divided by the number 1001?

  1. 777

  2. 707

  3. 700

  4. 770
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

1001 sevens is 777...7 (1001 times). 1001 = 7 * 11 * 13. Since 1001 is a multiple of 7, 11, and 13, and the number consists of 1001 sevens, we can write it as 7 * (111...1). Dividing by 1001 is equivalent to dividing by 7 * 143. The remainder is 700.

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