Find the prime factorization of number 29920.

Answer

The prime factorization of 29920 is:
$29920 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 11 \cdot 17$
Which is the same as :
$29920 = 2^{5} \cdot 5 \cdot 11 \cdot 17$

Explanation

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

29920 can be written as 10 × 2992.	29920 10 2992
10 can be written as 2 × 5.	29920 10 5 2 2992
2992 can be written as 2 × 1496.	29920 10 5 2 2992 2 1496
1496 can be written as 2 × 748.	29920 10 5 2 2992 2 1496 748 2
748 can be written as 2 × 374.	29920 10 5 2 2992 2 1496 748 2 374 2
374 can be written as 2 × 187.	29920 10 5 2 2992 2 1496 748 2 374 187 2 2
187 can be written as 11 × 17.	29920 10 5 2 2992 2 1496 748 2 374 187 11 17 2 2
The end nodes are the prime factors of the number 29920.	29920 10 5 2 2992 2 1496 748 2 374 187 11 17 2 2

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Find the prime factorization of number 29920.

The prime factorization of 29920 is:29920=2⋅2⋅2⋅2⋅2⋅5⋅11⋅17 Which is the same as :29920=25⋅5⋅11⋅17

The prime factorization of 29920 is:
$29920 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 11 \cdot 17$
Which is the same as :
$29920 = 2^{5} \cdot 5 \cdot 11 \cdot 17$