Find the prime factorization of number 5740875.

Answer

The prime factorization of 5740875 is:

$$ 5740875 = 3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot5\cdot5\cdot5\cdot7 $$

Which is the same as :

$$ 5740875 = 3^{8}\cdot5^{3}\cdot7 $$

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

5740875 can be written as 5 × 1148175.	5740875 5 1148175
1148175 can be written as 5 × 229635.	5740875 5 1148175 229635 5
229635 can be written as 5 × 45927.	5740875 5 1148175 229635 5 45927 5
45927 can be written as 3 × 15309.	5740875 5 1148175 229635 5 45927 15309 3 5
15309 can be written as 3 × 5103.	5740875 5 1148175 229635 5 45927 15309 3 5103 3 5
5103 can be written as 3 × 1701.	5740875 5 1148175 229635 5 45927 15309 3 5103 1701 3 3 5
1701 can be written as 3 × 567.	5740875 5 1148175 229635 5 45927 15309 3 5103 1701 3 567 3 3 5
567 can be written as 3 × 189.	5740875 5 1148175 229635 5 45927 15309 3 5103 1701 3 567 189 3 3 3 5
189 can be written as 3 × 63.	5740875 5 1148175 229635 5 45927 15309 3 5103 1701 3 567 189 3 63 3 3 3 5
63 can be written as 3 × 21.	5740875 5 1148175 229635 5 45927 15309 3 5103 1701 3 567 189 3 63 21 3 3 3 3 5
21 can be written as 3 × 7.	5740875 5 1148175 229635 5 45927 15309 3 5103 1701 3 567 189 3 63 21 3 7 3 3 3 3 5
The end nodes are the prime factors of the number 5740875.	5740875 5 1148175 229635 5 45927 15309 3 5103 1701 3 567 189 3 63 21 3 7 3 3 3 3 5

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