| Think of a number from 1 to 9 and multiply it by 15873. Multiply
your answer by 7 and the product's 6 numerals are all the same you started
with.
Think of a number from 1 to 9 and multiply it by 37. Multiply your answer by 3 and the product's 3 numerals are all the same you started with. |
|
Explanation below
When you first multiply your number by 15873 and then by 7, you are actually multiplying your single digit number by 15873 x 7 = 111111. So, if your digit is 4, then 4 x 111111 = 444444.
In other words, 4 x 15873 x 7 = 4 x (15873 x 7) = 4 x (111111) = 444444.
If your number is 9, then 9 x 15873 x 7 = 9 x (15873 x 7) = 9x (111111) = 999999
When you first multiply your number by 37 and then by 3, you are actually multiplying your single digit number by 37 x 3 = 111. So, if your digit is 4, then 4 x 111 = 444.
In other words, 4 x 37 x 3 = 4 x (37 x 3) = 4 x (111) = 444.
If your number is 9, then 9 x 37 x 3 = 9 x (37x 3) = 9x (111) = 999.
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