Question

Find the value of 7 × 11 ×13 × 234 by observing the given pattern:
7 × 11 × 13 × 101 = 1,01,101
7 × 11 × 13 × 102 = 1,02,102
7 × 11 × 13 × 103 = 1,03,103
7 × 11 × 13 × 104 = 1,04,104
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7 × 11 × 13 × 234 = ________

Answer 1

On observing the pattern, we understand that any three-digit number multiplied to the product of 7, 11, and 13 repeats itself twice to give the resultant number. Hence,

7 × 11 × 13 × 101 = 1,01,101
7 × 11 × 13 × 102 = 1,02,102
7 × 11 × 13 × 103 = 1,03,103
7 × 11 × 13 × 104 = 1,04,104

Similarly,
7 × 11 × 13 × 105 = 1,05,105
7 × 11 × 13 × 106 = 1,06,106
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.
.

So, 7 × 11 × 13 × 234 = 2,34,234