Find the prime factorization of number 3900.

Answer

The prime factorization of 3900 is:
$3900 = 2 \cdot 2 \cdot 3 \cdot 5 \cdot 5 \cdot 13$
Which is the same as :
$3900 = 2^{2} \cdot 3 \cdot 5^{2} \cdot 13$

Explanation

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

3900 can be written as 10 × 390.	3900 10 390
10 can be written as 2 × 5.	3900 10 5 2 390
390 can be written as 10 × 39.	3900 10 5 2 390 10 39
10 can be written as 2 × 5.	3900 10 5 2 390 10 5 2 39
39 can be written as 3 × 13.	3900 10 5 2 390 10 5 2 39 3 13
The end nodes are the prime factors of the number 3900.	3900 10 5 2 390 10 5 2 39 3 13

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Find the prime factorization of number 3900.

The prime factorization of 3900 is:3900=2⋅2⋅3⋅5⋅5⋅13 Which is the same as :3900=22⋅3⋅52⋅13

The prime factorization of 3900 is:
$3900 = 2 \cdot 2 \cdot 3 \cdot 5 \cdot 5 \cdot 13$
Which is the same as :
$3900 = 2^{2} \cdot 3 \cdot 5^{2} \cdot 13$