Find the prime factorization of number 4592.

Answer

The prime factorization of 4592 is:
$4592 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 7 \cdot 41$
Which is the same as :
$4592 = 2^{4} \cdot 7 \cdot 41$

Explanation

Prime factorization can be nicely visualized by creating a factorization tree.

4592 can be written as 2 × 2296.	4592 2 2296
2296 can be written as 2 × 1148.	4592 2 2296 1148 2
1148 can be written as 2 × 574.	4592 2 2296 1148 2 574 2
574 can be written as 2 × 287.	4592 2 2296 1148 2 574 287 2 2
287 can be written as 7 × 41.	4592 2 2296 1148 2 574 287 7 41 2 2
The end nodes are the prime factors of the number 4592.	4592 2 2296 1148 2 574 287 7 41 2 2

This page was created using

Prime factorization calculator

About the Author

Welcome to MathPortal. This website's owner is mathematician Miloš Petrović. I designed this website and wrote all the calculators, lessons, and formulas.

If you want to contact me, probably have some questions, write me using the contact form or email me on mathhelp@mathportal.org.

Send Me A Comment

Main Navigation

Online Math Calculators

Find the prime factorization of number 4592.

The prime factorization of 4592 is:4592=2⋅2⋅2⋅2⋅7⋅41 Which is the same as :4592=24⋅7⋅41

The prime factorization of 4592 is:
$4592 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 7 \cdot 41$
Which is the same as :
$4592 = 2^{4} \cdot 7 \cdot 41$