Find the prime factorization of number 7920.

Answer

The prime factorization of 7920 is:
$7920 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 5 \cdot 11$
Which is the same as :
$7920 = 2^{4} \cdot 3^{2} \cdot 5 \cdot 11$

Explanation

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

7920 can be written as 10 × 792.	7920 10 792
10 can be written as 2 × 5.	7920 10 5 2 792
792 can be written as 2 × 396.	7920 10 5 2 792 2 396
396 can be written as 2 × 198.	7920 10 5 2 792 2 396 198 2
198 can be written as 2 × 99.	7920 10 5 2 792 2 396 198 2 99 2
99 can be written as 3 × 33.	7920 10 5 2 792 2 396 198 2 99 33 3 2
33 can be written as 3 × 11.	7920 10 5 2 792 2 396 198 2 99 33 3 11 3 2
The end nodes are the prime factors of the number 7920.	7920 10 5 2 792 2 396 198 2 99 33 3 11 3 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 7920.

The prime factorization of 7920 is:7920=2⋅2⋅2⋅2⋅3⋅3⋅5⋅11 Which is the same as :7920=24⋅32⋅5⋅11

The prime factorization of 7920 is:
$7920 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 5 \cdot 11$
Which is the same as :
$7920 = 2^{4} \cdot 3^{2} \cdot 5 \cdot 11$