Find the prime factorization of number 100.

Answer

The prime factorization of 100 is:
$100 = 2 \cdot 2 \cdot 5 \cdot 5$
Which is the same as :
$100 = 2^{2} \cdot 5^{2}$

Explanation

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

100 can be written as 10 × 10.	100 10 10
10 can be written as 2 × 5.	100 10 5 2 10
10 can be written as 2 × 5.	100 10 5 2 10 2 5
The end nodes are the prime factors of the number 100.	100 10 5 2 10 2 5

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Find the prime factorization of number 100.

The prime factorization of 100 is:100=2⋅2⋅5⋅5 Which is the same as :100=22⋅52

The prime factorization of 100 is:
$100 = 2 \cdot 2 \cdot 5 \cdot 5$
Which is the same as :
$100 = 2^{2} \cdot 5^{2}$