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What are the examples of unique factorization?

Unique factorization usually means that any integer can only be factored in one way using prime numbers only: 24 = 2 x 2 x 2 x 3 (unique prime factorization) If other numbers than prime numbers are allowed, factorization is not unique. 24 = 2 x 12 = 3 x 8 = 4 x 6 = -4 x -6 = etc. (non-unique factorization) If 1 is allowed, then every number has an infinity of factorizations: 5 = 1 x 5 = 1 x 1 x 5 = 1 x 1 x 1 x 5 = etc. So, limiting the allowed factors to prime numbers, makes the factorization unique. The theorem is that every integer has a unique prime factorization. So, the answer to your question could be any number showing its unique prime factorization.


What 2 decimal numbers 11?

Numbers are unique and so the decimal number 11 is 11 and no second number.


What three unique positive numbers have a sum equal to their product?

1 2 3


How many unique two number combinations are there for the numbers 1 through 75 for instance 1-2 is the same as 2-1?

There are (75 x 74)/2 = (75 x 37) = 2,775 unique pairs.


What is the difference between integers and counting numbers?

The counting numbers are {1, 2, 3, ...}. The integers are the counting numbers, their opposites (-1, -2, ...) and zero. So they are {..., -2, -1, 0, 1, 2, ...}.


2 over 1 in lowest terms?

2/1 can only be slightly simplified to 2 as there are no lower terms. 2 is a prime number and cannot be factored into smaller numbers. 1 is a unique number which also cannot be factored into smaller numbers


Define prime numbers?

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.


What are the prime numbers 1-6?

1 can be seen as a unique number or a prime number depending on who you ask. 2, 3, 5 are other prime numbers in this set


What is a Fibonacci Numbers?

The Fibonacci numbers is a series of numbers that are found in nature and other things. The series goes 0,1,1,2,3,5,8,13,21 and so on. You just add the last two numbers in the series. 0+1=1, 1+1=2, 2+1=3, and so on.


Why are the numbers between 1 and 50 prime?

Because the prime numbers between 1and 50 only have exactly 2 unique factors.


How many 4 digit combinations can you get from numbers 1226?

To calculate the number of 4-digit combinations you can get from the numbers 1, 2, 2, and 6, we need to consider that the number 2 is repeated. Therefore, the total number of combinations is calculated using the formula for permutations of a multiset, which is 4! / (2!1!1!) = 12. So, there are 12 unique 4-digit combinations that can be formed from the numbers 1, 2, 2, and 6.


How many odd numbers are in numbers 1-25?

Well, isn't that just a happy little question! In the numbers 1 to 25, we have 13 odd numbers. You see, odd numbers are those that can't be divided evenly by 2, like 1, 3, 5, and so on. Just imagine each odd number as a unique little tree in a beautiful forest of numbers.