Mathemagics

Number Theory Level 1

What is the result of 111111111*111111111


The answer is 12345678987654321.

Shravan Kumar by Shravan Kumar , 28, India

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1 solution

Shravan Kumar
Sep 10, 2015

Observe the pattern

11*11=121

111*111=12321

1111*1111=1234321

We have nine ones multiplied by nine ones so the result is 12345678987654321

1 Helpful 0 Interesting 0 Brilliant 0 Confused

This pattern doesn't work for more than nine ones.

Pi Han Goh - 5 years, 9 months ago

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Yes. This pattern is applicable upto nine ones. If it's more than 9 ones the pattern changes.

The pattern will be 12345679x987654321 "x" will be replaced by 00 for ten ones, 0120 for eleven ones, 012320 for twelve ones, 01234320 for thirteen ones and so on.

This pattern is valid upto 18 ones. Pattern varies for every multiple of 9 ones.

Shravan Kumar - 5 years, 9 months ago

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