Find the prime factorization of number 25200.

Answer

The prime factorization of 25200 is:
$25200 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 5 \cdot 5 \cdot 7$
Which is the same as :
$25200 = 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7$

Explanation

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

25200 can be written as 10 × 2520.	25200 10 2520
10 can be written as 2 × 5.	25200 10 5 2 2520
2520 can be written as 10 × 252.	25200 10 5 2 2520 10 252
10 can be written as 2 × 5.	25200 10 5 2 2520 10 5 2 252
252 can be written as 2 × 126.	25200 10 5 2 2520 10 5 2 252 2 126
126 can be written as 2 × 63.	25200 10 5 2 2520 10 5 2 252 2 126 63 2
63 can be written as 3 × 21.	25200 10 5 2 2520 10 5 2 252 2 126 63 3 21 2
21 can be written as 3 × 7.	25200 10 5 2 2520 10 5 2 252 2 126 63 3 21 7 3 2
The end nodes are the prime factors of the number 25200.	25200 10 5 2 2520 10 5 2 252 2 126 63 3 21 7 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 25200.

The prime factorization of 25200 is:25200=2⋅2⋅2⋅2⋅3⋅3⋅5⋅5⋅7 Which is the same as :25200=24⋅32⋅52⋅7

The prime factorization of 25200 is:
$25200 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 5 \cdot 5 \cdot 7$
Which is the same as :
$25200 = 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7$