# Factoring Real Numbers

Factoring Real Numbers

Given any positive real number , there exist some positive real numbers , , …, , all less than 4, with and and also =+…+, …=++…+, and so on. This factorization is unique. This Demonstration shows the factorization of numbers from 4 to 50, showing up to three decimals of the factors.

r

r

1

r

2

r

n

r=…

r

1

r

2

r

n

r=++…+

r

1

r

2

r

n

r

2

r

3…

r

n

r

2

r

3

r

n

r

3

r

4

r

n

r

3

r

4

r

n