Find the prime factorization of number 122500.

Answer

The prime factorization of 122500 is:
$122500 = 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 7 \cdot 7$
Which is the same as :
$122500 = 2^{2} \cdot 5^{4} \cdot 7^{2}$

Explanation

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

122500 can be written as 10 × 12250.	122500 10 12250
10 can be written as 2 × 5.	122500 10 5 2 12250
12250 can be written as 10 × 1225.	122500 10 5 2 12250 10 1225
10 can be written as 2 × 5.	122500 10 5 2 12250 10 5 2 1225
1225 can be written as 5 × 245.	122500 10 5 2 12250 10 5 2 1225 5 245
245 can be written as 5 × 49.	122500 10 5 2 12250 10 5 2 1225 5 245 49 5
49 can be written as 7 × 7.	122500 10 5 2 12250 10 5 2 1225 5 245 49 7 7 5
The end nodes are the prime factors of the number 122500.	122500 10 5 2 12250 10 5 2 1225 5 245 49 7 7 5

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 122500.

The prime factorization of 122500 is:122500=2⋅2⋅5⋅5⋅5⋅5⋅7⋅7 Which is the same as :122500=22⋅54⋅72

The prime factorization of 122500 is:
$122500 = 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 7 \cdot 7$
Which is the same as :
$122500 = 2^{2} \cdot 5^{4} \cdot 7^{2}$