Solution: 5281 is a prime number, so it cannot be subdivided into smaller equal groups. 5106 ends in an even number, so it must be divisible by 2.
In the case of 5751, the sum of its digits (5 7 5 1=18) is divisible by three, so 5751 must be divisible by 3.
Solution: The answer is 12 because 2, 3, and 4 are all factors of 12, and 12 is the lowest common multiple of those numbers.
Problem: Which of the following numbers can not be divided into any smaller equal groups: 5106, 5281, or 5751?
One may also study real numbers in relation to rational numbers, for example, as approximated by the latter (Diophantine approximation). By the early twentieth century, it had been superseded by "number theory".
(The word "arithmetic" is used by the general public to mean "elementary calculations"; it has also acquired other meanings in mathematical logic, as in Peano arithmetic, and computer science, as in floating point arithmetic.) The use of the term arithmetic for number theory regained some ground in the second half of the 20th century, arguably in part due to French influence.
A Couple Of Simple Number Theory Problems And Solutions Many basic number theory problems relate to factoring.
Following are a couple of examples: Problem: You have a quantity of cookies.
Number theory has also contributed greatly to the development of computer science.