Divisibility of 29Divisibility of 29:
Take away the last digit of the number, multiply it by 3, and add it to
the remaining digits. Repeat the process until the result can be determined.
Example: For the number 120,437,
1. Take the last digit of the number and multiply it by 2. (7 x 3 = 21)
2. Add that number to the rest of the digits. (12043 + 21 = 12064)
3. Repeat the process. (1206 + 4 x 3 = 1218)
4. Continue until the results can be determined. (121 + 8 x 3 = 145)
5. The result is should be divisible by 29. (14 + 5 x 3 = 29);
29 is a prime number from 1-100. 29 has 2 factors, 1 and 29. It is said to be another number wherein when digits are added together, they make a prime number. It is the tenth prime number, and the tenth prime number from 1-100.
Proofs
- Therefore 29 has 2 factors
Relationship with other odd numbers
The numbers before
- The previous prime number is 23. The numbers in between are composite.
- Among them, 25 is a square number, being 52 = 25.
- 27 is a cube number, being 33 = 27.
- 23 and 29 are six numbers apart; therefore, they are sexy primes.
The numbers after
- The next odd number, 31, is a prime number.
- There are no odd numbers between 29 and 31. As a result, they are twin primes.
- 33, the odd number following 31, is not a prime number. It is divisible by 3 and 11.
- 35, the odd number following 33, is also not a prime number. It is divisible by 5 and 7.