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Amazing Facts Related To The Number Theory

This post is about some amazing facts that are related to the number theory.

Below is the list of these amazing facts:

Fact No. 1:

All four-digit palindrome numbers are divisible by 11.

Example:

Palindrome numbers are those numbers which remains the same while reading from left to right and right to left.

1001 is divisible by 11, and the resultant is 91.

2552 is divisible by 11, and the resultant is 232.

4664 is divisible by 11, and the resultant is 424.

7227 is divisible by 11, and the resultant is 657.

9889 is divisible by 11, and the resultant is 899.

Fact No. 2:

Repeat a three-digit number twice to form a six-digit number. The formed six-digit number is divisible by 7, 11 and 13. Again dividing the formed six-digit number by the multiplication resultant of 7 x 11 x 13, gives back the original three-digit number.

Example:

The original number: 123.

Repeat the number twice to form a six-digit number: 123123.

The formed six-digit number 123123 is divisible by 7, 11 and 13, and the resultant is 17589, 11193 and 9471, respectively.

Divide the formed six-digit number 123123 by multiplication resultant of 7 x 11 x 13 => 1001 i.e. 123123 divided by 1001.

The end-result is the original three-digit number: 123.

Fact No. 3:

Addition of even integers is always an even integer.

Example:

14 + 14 => 28.

50 + 50 => 100.

150 + 150 => 300.

400 + 400 => 800.

1000 + 2558 => 3558.

Fact No. 4:

The constant 495 for three-digit number.

For detailed information, go to https://theamazingconcepts.blogspot.com/2021/08/kaprekar-constant-495-for-three-digit_88.html.

Fact No. 5:

The constant 6174 for four-digit number.

For detailed information, go to https://theamazingconcepts.blogspot.com/2021/08/kaprekar-constant.html.

Hope you liked these amazing facts related to the number theory. For more amazing concepts, visit the site https://theamazingconcepts.blogspot.com.

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