Find the prime factorization of number 1098.

Answer

The prime factorization of 1098 is:
$1098 = 2 \cdot 3 \cdot 3 \cdot 61$
Which is the same as :
$1098 = 2 \cdot 3^{2} \cdot 61$

Explanation

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

1098 can be written as 2 × 549.	1098 2 549
549 can be written as 3 × 183.	1098 2 549 183 3
183 can be written as 3 × 61.	1098 2 549 183 3 61 3
The end nodes are the prime factors of the number 1098.	1098 2 549 183 3 61 3

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Find the prime factorization of number 1098.

The prime factorization of 1098 is:1098=2⋅3⋅3⋅61 Which is the same as :1098=2⋅32⋅61

The prime factorization of 1098 is:
$1098 = 2 \cdot 3 \cdot 3 \cdot 61$
Which is the same as :
$1098 = 2 \cdot 3^{2} \cdot 61$