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Revision as of 00:32, 7 September 2015
Divisibility of 37Divisibility of 37:
Sum the digits in blocks of three and see if the result is divisible by 37.
Example: For number 6,132,593,009,
1. The digit sum in groups of 3 is 9 + 593 + 132 + 6 = 740
2. Examine the result. If it cannot be determined, use the right trim method:
3. Multiply the last digit by 11 and subtract it from the rest. (74 - 0 x 11 = 74);
37 is a prime number from 1-100. 37 has 2 factors, 1 and 37. It is said to be another number wherein when digits are added together, they make a composite number. It is the twelfth prime number, and the twelfth prime number from 1-100.
Proofs
- Therefore, 37 has 2 factors.
Relationship with other odd numbers
The numbers before
- The previous prime number is 31. The numbers in between are composite.
- Among them, 33 is divisible by 3 and 11, while 35 is divisible by 5 and 7.
- 31 and 37 are six numbers apart; therefore, they are sexy primes.
The numbers after
- The next odd number, 39, is not a prime number. It is divisible by 3 and 13.
- 41, the odd number following 39, is a prime number.
- 37 and 41 are four numbers apart; therefore, they are cousin primes.
- 43, the odd number following 41, is a prime number.
- 37 and 43 are six numbers apart; therefore, they are sexy primes.
Usage
Science
- Rubidium atomic number
- Normal temperature of human's body
Others
- Number of plays of William Shakespeare that is thought to have written (counting Henry IV as three parts)