Find the prime factorization of number 275.

Answer

The prime factorization of 275 is:
$275 = 5 \cdot 5 \cdot 11$
Which is the same as :
$275 = 5^{2} \cdot 11$

Explanation

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

275 can be written as 5 × 55.	275 5 55
55 can be written as 5 × 11.	275 5 55 11 5
The end nodes are the prime factors of the number 275.	275 5 55 11 5

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Find the prime factorization of number 275.

The prime factorization of 275 is:275=5⋅5⋅11 Which is the same as :275=52⋅11

The prime factorization of 275 is:
$275 = 5 \cdot 5 \cdot 11$
Which is the same as :
$275 = 5^{2} \cdot 11$