Find the prime factorization of number 15435.

Answer

The prime factorization of 15435 is:
$15435 = 3 \cdot 3 \cdot 5 \cdot 7 \cdot 7 \cdot 7$
Which is the same as :
$15435 = 3^{2} \cdot 5 \cdot 7^{3}$

Explanation

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

15435 can be written as 5 × 3087.	15435 5 3087
3087 can be written as 3 × 1029.	15435 5 3087 1029 3
1029 can be written as 3 × 343.	15435 5 3087 1029 3 343 3
343 can be written as 7 × 49.	15435 5 3087 1029 3 343 49 7 3
49 can be written as 7 × 7.	15435 5 3087 1029 3 343 49 7 7 7 3
The end nodes are the prime factors of the number 15435.	15435 5 3087 1029 3 343 49 7 7 7 3

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Find the prime factorization of number 15435.

The prime factorization of 15435 is:15435=3⋅3⋅5⋅7⋅7⋅7 Which is the same as :15435=32⋅5⋅73

The prime factorization of 15435 is:
$15435 = 3 \cdot 3 \cdot 5 \cdot 7 \cdot 7 \cdot 7$
Which is the same as :
$15435 = 3^{2} \cdot 5 \cdot 7^{3}$