Find the prime factorization of number 2772.

Answer

The prime factorization of 2772 is:
$2772 = 2 \cdot 2 \cdot 3 \cdot 3 \cdot 7 \cdot 11$
Which is the same as :
$2772 = 2^{2} \cdot 3^{2} \cdot 7 \cdot 11$

Explanation

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

2772 can be written as 2 × 1386.	2772 2 1386
1386 can be written as 2 × 693.	2772 2 1386 693 2
693 can be written as 3 × 231.	2772 2 1386 693 3 231 2
231 can be written as 3 × 77.	2772 2 1386 693 3 231 77 3 2
77 can be written as 7 × 11.	2772 2 1386 693 3 231 77 7 11 3 2
The end nodes are the prime factors of the number 2772.	2772 2 1386 693 3 231 77 7 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 2772.

The prime factorization of 2772 is:2772=2⋅2⋅3⋅3⋅7⋅11 Which is the same as :2772=22⋅32⋅7⋅11

The prime factorization of 2772 is:
$2772 = 2 \cdot 2 \cdot 3 \cdot 3 \cdot 7 \cdot 11$
Which is the same as :
$2772 = 2^{2} \cdot 3^{2} \cdot 7 \cdot 11$