five pairs
Four unique pairs.
The numbers are 13 and 14.
unique [juːˈniːk] adj 1. being the only one of a particular type; single; sole 2. without equal or like; unparalleled 3. (informal) very remarkable or unusual4. maths, leading to only one result, the sum of two integers is unique, having precisely one value, the unique positive square root of 4 is 2
Actually, the "set of whole numbers" doesn't have a unique definition, so it's better to avoid that term, at least in professional circles. For some people, "whole numbers" means positive numbers (usually including zero), for others, it means "integers" (i.e., both positive and negative whole numbers). The only thing you can be sure about when the term "whole numbers" is used is that it does NOT include fractions or numbers with decimals. The term "natural numbers", on the other hand, was originally used for whole numbers starting with 1; but in recent decades, it has become quite common to include zero. To avoid confusion, you better use terms such as: "Positive integers" (greater or equal to 1) "Non-negative integers" (greater or equal to 0) "Integers" (any whole number, can be zero, positive, negative).
0.12 Or 102 if you do not want to include non integers.
Four unique pairs.
The set of positive integers is {1,2,3,4,5,...}. When referring to numbers, distinct simply means different from each other e.g. 2,6,7 and 9 are distinct positive integers but 2,6,6 and 9 are not distinct since two of them are equal.
Given Positive Integers a and b there exists unique integers q and r satisfying a=bq+r; 0 lesser than or equal to r<b
Given Positive Integers a and b there exists unique integers q and r satisfying a=bq+r; 0 lesser than or equal to r<b
Like all the other positive composite integers, 64 has one unique prime factorization.
211
Yes. There is an injective function from rational numbers to positive rational numbers*. Every positive rational number can be written in lowest terms as a/b, so there is an injective function from positive rationals to pairs of positive integers. The function f(a,b) = a^2 + 2ab + b^2 + a + 3b maps maps every pair of positive integers (a,b) to a unique integer. So there is an injective function from rationals to integers. Since every integer is rational, the identity function is an injective function from integers to rationals. Then By the Cantor-Schroder-Bernstein theorem, there is a bijective function from rationals to integers, so the rationals are countably infinite. *This is left as an exercise for the reader.
A prime number is a number in the set of positive integers such that it is only divisible by 2 unique numbers: itself, and 1. For this reason the first prime number is 2, not 1.
Any number can be multiplied by itself, but one is unique in that it stays the same. 1x1 is 1
Standing out or different
The numbers are 13 and 14.
None. The factorization of integers is unique.