Find the prime factorization of number 460.

Answer

The prime factorization of 460 is:
$460 = 2 \cdot 2 \cdot 5 \cdot 23$
Which is the same as :
$460 = 2^{2} \cdot 5 \cdot 23$

Explanation

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

460 can be written as 10 × 46.	460 10 46
10 can be written as 2 × 5.	460 10 5 2 46
46 can be written as 2 × 23.	460 10 5 2 46 2 23
The end nodes are the prime factors of the number 460.	460 10 5 2 46 2 23

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 460.

The prime factorization of 460 is:460=2⋅2⋅5⋅23 Which is the same as :460=22⋅5⋅23

The prime factorization of 460 is:
$460 = 2 \cdot 2 \cdot 5 \cdot 23$
Which is the same as :
$460 = 2^{2} \cdot 5 \cdot 23$